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Finding the Fourth Proportional to 724.90, 1,086.57 and 314.23

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Solution

The fourth proportional to 724.90, 1,086.57 and 314.23 is: 471.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.90 : 1,086.57 = 314.23 : x
  2. Step 2: Convert to fraction form
    724.90/1,086.57 = 314.23/x
  3. Step 3: Cross multiply
    724.90x = 1,086.57 × 314.23
  4. Step 4: Simplify right side
    724.90x = 341,432.89
  5. Step 5: Solve for x
    x = 341,432.89/724.90
  6. Step 6: Final answer
    x = 471.01

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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.