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Finding the Fourth Proportional to 812.60, 1,119.87 and 560.60

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Solution

The fourth proportional to 812.60, 1,119.87 and 560.60 is: 772.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.60 : 1,119.87 = 560.60 : x
  2. Step 2: Convert to fraction form
    812.60/1,119.87 = 560.60/x
  3. Step 3: Cross multiply
    812.60x = 1,119.87 × 560.60
  4. Step 4: Simplify right side
    812.60x = 627,799.12
  5. Step 5: Solve for x
    x = 627,799.12/812.60
  6. Step 6: Final answer
    x = 772.58

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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.