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Finding the Fourth Proportional to 801.14, 1,105.57 and 506.43

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Solution

The fourth proportional to 801.14, 1,105.57 and 506.43 is: 698.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.14 : 1,105.57 = 506.43 : x
  2. Step 2: Convert to fraction form
    801.14/1,105.57 = 506.43/x
  3. Step 3: Cross multiply
    801.14x = 1,105.57 × 506.43
  4. Step 4: Simplify right side
    801.14x = 559,892.76
  5. Step 5: Solve for x
    x = 559,892.76/801.14
  6. Step 6: Final answer
    x = 698.87

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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.