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Finding the Fourth Proportional to 717.62, 991.28 and 562.22

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Solution

The fourth proportional to 717.62, 991.28 and 562.22 is: 776.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.62 : 991.28 = 562.22 : x
  2. Step 2: Convert to fraction form
    717.62/991.28 = 562.22/x
  3. Step 3: Cross multiply
    717.62x = 991.28 × 562.22
  4. Step 4: Simplify right side
    717.62x = 557,309.67
  5. Step 5: Solve for x
    x = 557,309.67/717.62
  6. Step 6: Final answer
    x = 776.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.