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Finding the Fourth Proportional to 1,283.75, 1,925.72 and 462.11

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Solution

The fourth proportional to 1,283.75, 1,925.72 and 462.11 is: 693.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,283.75 : 1,925.72 = 462.11 : x
  2. Step 2: Convert to fraction form
    1,283.75/1,925.72 = 462.11/x
  3. Step 3: Cross multiply
    1,283.75x = 1,925.72 × 462.11
  4. Step 4: Simplify right side
    1,283.75x = 889,886.86
  5. Step 5: Solve for x
    x = 889,886.86/1,283.75
  6. Step 6: Final answer
    x = 693.19

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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 (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.