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Finding the Fourth Proportional to 726.77, 1,002.96 and 432.20

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Solution

The fourth proportional to 726.77, 1,002.96 and 432.20 is: 596.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.77 : 1,002.96 = 432.20 : x
  2. Step 2: Convert to fraction form
    726.77/1,002.96 = 432.20/x
  3. Step 3: Cross multiply
    726.77x = 1,002.96 × 432.20
  4. Step 4: Simplify right side
    726.77x = 433,474.30
  5. Step 5: Solve for x
    x = 433,474.30/726.77
  6. Step 6: Final answer
    x = 596.44

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Find fourth proportional to 363.38, 501.48 and 216.10
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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.