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Finding the Fourth Proportional to 487.38, 726.60 and 432.30

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Solution

The fourth proportional to 487.38, 726.60 and 432.30 is: 644.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.38 : 726.60 = 432.30 : x
  2. Step 2: Convert to fraction form
    487.38/726.60 = 432.30/x
  3. Step 3: Cross multiply
    487.38x = 726.60 × 432.30
  4. Step 4: Simplify right side
    487.38x = 314,109.18
  5. Step 5: Solve for x
    x = 314,109.18/487.38
  6. Step 6: Final answer
    x = 644.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.