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Finding the Fourth Proportional to 801.32, 1,105.07 and 521.26

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Solution

The fourth proportional to 801.32, 1,105.07 and 521.26 is: 718.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.32 : 1,105.07 = 521.26 : x
  2. Step 2: Convert to fraction form
    801.32/1,105.07 = 521.26/x
  3. Step 3: Cross multiply
    801.32x = 1,105.07 × 521.26
  4. Step 4: Simplify right side
    801.32x = 576,028.79
  5. Step 5: Solve for x
    x = 576,028.79/801.32
  6. Step 6: Final answer
    x = 718.85

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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.