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Finding the Fourth Proportional to 726.85, 1,003.08 and 432.15

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Solution

The fourth proportional to 726.85, 1,003.08 and 432.15 is: 596.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.85 : 1,003.08 = 432.15 : x
  2. Step 2: Convert to fraction form
    726.85/1,003.08 = 432.15/x
  3. Step 3: Cross multiply
    726.85x = 1,003.08 × 432.15
  4. Step 4: Simplify right side
    726.85x = 433,481.02
  5. Step 5: Solve for x
    x = 433,481.02/726.85
  6. Step 6: Final answer
    x = 596.38

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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.