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Finding the Fourth Proportional to 717.23, 1,073.66 and 438.86

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Solution

The fourth proportional to 717.23, 1,073.66 and 438.86 is: 656.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.23 : 1,073.66 = 438.86 : x
  2. Step 2: Convert to fraction form
    717.23/1,073.66 = 438.86/x
  3. Step 3: Cross multiply
    717.23x = 1,073.66 × 438.86
  4. Step 4: Simplify right side
    717.23x = 471,178.87
  5. Step 5: Solve for x
    x = 471,178.87/717.23
  6. Step 6: Final answer
    x = 656.95

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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.