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Finding the Fourth Proportional to 713.15, 1,069.42 and 439.17

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Solution

The fourth proportional to 713.15, 1,069.42 and 439.17 is: 658.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.15 : 1,069.42 = 439.17 : x
  2. Step 2: Convert to fraction form
    713.15/1,069.42 = 439.17/x
  3. Step 3: Cross multiply
    713.15x = 1,069.42 × 439.17
  4. Step 4: Simplify right side
    713.15x = 469,651.83
  5. Step 5: Solve for x
    x = 469,651.83/713.15
  6. Step 6: Final answer
    x = 658.56

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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.