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Finding the Fourth Proportional to 724.18, 1,086.27 and 312.91

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Solution

The fourth proportional to 724.18, 1,086.27 and 312.91 is: 469.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.18 : 1,086.27 = 312.91 : x
  2. Step 2: Convert to fraction form
    724.18/1,086.27 = 312.91/x
  3. Step 3: Cross multiply
    724.18x = 1,086.27 × 312.91
  4. Step 4: Simplify right side
    724.18x = 339,904.75
  5. Step 5: Solve for x
    x = 339,904.75/724.18
  6. Step 6: Final answer
    x = 469.37

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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.