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Finding the Fourth Proportional to 1,684.92, 2,325.07 and 1,055.42

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Solution

The fourth proportional to 1,684.92, 2,325.07 and 1,055.42 is: 1,456.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,684.92 : 2,325.07 = 1,055.42 : x
  2. Step 2: Convert to fraction form
    1,684.92/2,325.07 = 1,055.42/x
  3. Step 3: Cross multiply
    1,684.92x = 2,325.07 × 1,055.42
  4. Step 4: Simplify right side
    1,684.92x = 2,453,925.38
  5. Step 5: Solve for x
    x = 2,453,925.38/1,684.92
  6. Step 6: Final answer
    x = 1,456.40

Related Problems

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Half scale
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Double scale
Find fourth proportional to 1,685.92, 2,326.45 and 1,056.42
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.