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Finding the Fourth Proportional to 801.13, 1,201.07 and 511.96

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Solution

The fourth proportional to 801.13, 1,201.07 and 511.96 is: 767.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.13 : 1,201.07 = 511.96 : x
  2. Step 2: Convert to fraction form
    801.13/1,201.07 = 511.96/x
  3. Step 3: Cross multiply
    801.13x = 1,201.07 × 511.96
  4. Step 4: Simplify right side
    801.13x = 614,899.80
  5. Step 5: Solve for x
    x = 614,899.80/801.13
  6. Step 6: Final answer
    x = 767.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.