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Finding the Fourth Proportional to 801.32, 1,105.72 and 506.52

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Solution

The fourth proportional to 801.32, 1,105.72 and 506.52 is: 698.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.32 : 1,105.72 = 506.52 : x
  2. Step 2: Convert to fraction form
    801.32/1,105.72 = 506.52/x
  3. Step 3: Cross multiply
    801.32x = 1,105.72 × 506.52
  4. Step 4: Simplify right side
    801.32x = 560,069.29
  5. Step 5: Solve for x
    x = 560,069.29/801.32
  6. Step 6: Final answer
    x = 698.93

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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.