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Finding the Fourth Proportional to 725.20, 1,000.76 and 406.16

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Solution

The fourth proportional to 725.20, 1,000.76 and 406.16 is: 560.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.20 : 1,000.76 = 406.16 : x
  2. Step 2: Convert to fraction form
    725.20/1,000.76 = 406.16/x
  3. Step 3: Cross multiply
    725.20x = 1,000.76 × 406.16
  4. Step 4: Simplify right side
    725.20x = 406,468.68
  5. Step 5: Solve for x
    x = 406,468.68/725.20
  6. Step 6: Final answer
    x = 560.49

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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.