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Finding the Fourth Proportional to 716.65, 991.29 and 560.82

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Solution

The fourth proportional to 716.65, 991.29 and 560.82 is: 775.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.65 : 991.29 = 560.82 : x
  2. Step 2: Convert to fraction form
    716.65/991.29 = 560.82/x
  3. Step 3: Cross multiply
    716.65x = 991.29 × 560.82
  4. Step 4: Simplify right side
    716.65x = 555,937.92
  5. Step 5: Solve for x
    x = 555,937.92/716.65
  6. Step 6: Final answer
    x = 775.75

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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.