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Finding the Fourth Proportional to 809.17, 1,116.35 and 560.69

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Solution

The fourth proportional to 809.17, 1,116.35 and 560.69 is: 773.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.17 : 1,116.35 = 560.69 : x
  2. Step 2: Convert to fraction form
    809.17/1,116.35 = 560.69/x
  3. Step 3: Cross multiply
    809.17x = 1,116.35 × 560.69
  4. Step 4: Simplify right side
    809.17x = 625,926.27
  5. Step 5: Solve for x
    x = 625,926.27/809.17
  6. Step 6: Final answer
    x = 773.54

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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.