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Finding the Fourth Proportional to 1,685.69, 2,326.40 and 987.20

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Solution

The fourth proportional to 1,685.69, 2,326.40 and 987.20 is: 1,362.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,685.69 : 2,326.40 = 987.20 : x
  2. Step 2: Convert to fraction form
    1,685.69/2,326.40 = 987.20/x
  3. Step 3: Cross multiply
    1,685.69x = 2,326.40 × 987.20
  4. Step 4: Simplify right side
    1,685.69x = 2,296,622.08
  5. Step 5: Solve for x
    x = 2,296,622.08/1,685.69
  6. Step 6: Final answer
    x = 1,362.42

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Half scale
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Double scale
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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.