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Finding the Fourth Proportional to 1,387.52, 2,081.12 and 463.04

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Solution

The fourth proportional to 1,387.52, 2,081.12 and 463.04 is: 694.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,387.52 : 2,081.12 = 463.04 : x
  2. Step 2: Convert to fraction form
    1,387.52/2,081.12 = 463.04/x
  3. Step 3: Cross multiply
    1,387.52x = 2,081.12 × 463.04
  4. Step 4: Simplify right side
    1,387.52x = 963,641.80
  5. Step 5: Solve for x
    x = 963,641.80/1,387.52
  6. Step 6: Final answer
    x = 694.51

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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.