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Finding the Fourth Proportional to 724.89, 1,000.36 and 410.21

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Solution

The fourth proportional to 724.89, 1,000.36 and 410.21 is: 566.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.89 : 1,000.36 = 410.21 : x
  2. Step 2: Convert to fraction form
    724.89/1,000.36 = 410.21/x
  3. Step 3: Cross multiply
    724.89x = 1,000.36 × 410.21
  4. Step 4: Simplify right side
    724.89x = 410,357.68
  5. Step 5: Solve for x
    x = 410,357.68/724.89
  6. Step 6: Final answer
    x = 566.10

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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.