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Finding the Fourth Proportional to 724.18, 1,084.41 and 631.21

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Solution

The fourth proportional to 724.18, 1,084.41 and 631.21 is: 945.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.18 : 1,084.41 = 631.21 : x
  2. Step 2: Convert to fraction form
    724.18/1,084.41 = 631.21/x
  3. Step 3: Cross multiply
    724.18x = 1,084.41 × 631.21
  4. Step 4: Simplify right side
    724.18x = 684,490.44
  5. Step 5: Solve for x
    x = 684,490.44/724.18
  6. Step 6: Final answer
    x = 945.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.