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Finding the Fourth Proportional to 781.67, 1,077.22 and 560.24

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Solution

The fourth proportional to 781.67, 1,077.22 and 560.24 is: 772.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.67 : 1,077.22 = 560.24 : x
  2. Step 2: Convert to fraction form
    781.67/1,077.22 = 560.24/x
  3. Step 3: Cross multiply
    781.67x = 1,077.22 × 560.24
  4. Step 4: Simplify right side
    781.67x = 603,501.73
  5. Step 5: Solve for x
    x = 603,501.73/781.67
  6. Step 6: Final answer
    x = 772.07

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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.