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Finding the Fourth Proportional to 717.82, 991.89 and 560.86

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Solution

The fourth proportional to 717.82, 991.89 and 560.86 is: 775.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.82 : 991.89 = 560.86 : x
  2. Step 2: Convert to fraction form
    717.82/991.89 = 560.86/x
  3. Step 3: Cross multiply
    717.82x = 991.89 × 560.86
  4. Step 4: Simplify right side
    717.82x = 556,311.43
  5. Step 5: Solve for x
    x = 556,311.43/717.82
  6. Step 6: Final answer
    x = 775.00

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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.