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Finding the Fourth Proportional to 800.56, 1,193.81 and 781.12

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Solution

The fourth proportional to 800.56, 1,193.81 and 781.12 is: 1,164.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.56 : 1,193.81 = 781.12 : x
  2. Step 2: Convert to fraction form
    800.56/1,193.81 = 781.12/x
  3. Step 3: Cross multiply
    800.56x = 1,193.81 × 781.12
  4. Step 4: Simplify right side
    800.56x = 932,508.87
  5. Step 5: Solve for x
    x = 932,508.87/800.56
  6. Step 6: Final answer
    x = 1,164.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.