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Finding the Fourth Proportional to 808.97, 1,115.79 and 560.30

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Solution

The fourth proportional to 808.97, 1,115.79 and 560.30 is: 772.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.97 : 1,115.79 = 560.30 : x
  2. Step 2: Convert to fraction form
    808.97/1,115.79 = 560.30/x
  3. Step 3: Cross multiply
    808.97x = 1,115.79 × 560.30
  4. Step 4: Simplify right side
    808.97x = 625,177.14
  5. Step 5: Solve for x
    x = 625,177.14/808.97
  6. Step 6: Final answer
    x = 772.81

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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.