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Finding the Fourth Proportional to 724.70, 1,000.10 and 409.93

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Solution

The fourth proportional to 724.70, 1,000.10 and 409.93 is: 565.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.70 : 1,000.10 = 409.93 : x
  2. Step 2: Convert to fraction form
    724.70/1,000.10 = 409.93/x
  3. Step 3: Cross multiply
    724.70x = 1,000.10 × 409.93
  4. Step 4: Simplify right side
    724.70x = 409,968.94
  5. Step 5: Solve for x
    x = 409,968.94/724.70
  6. Step 6: Final answer
    x = 565.71

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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.