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Finding the Fourth Proportional to 809.06, 1,116.05 and 560.52

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Solution

The fourth proportional to 809.06, 1,116.05 and 560.52 is: 773.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.06 : 1,116.05 = 560.52 : x
  2. Step 2: Convert to fraction form
    809.06/1,116.05 = 560.52/x
  3. Step 3: Cross multiply
    809.06x = 1,116.05 × 560.52
  4. Step 4: Simplify right side
    809.06x = 625,565.54
  5. Step 5: Solve for x
    x = 625,565.54/809.06
  6. Step 6: Final answer
    x = 773.21

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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.