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Finding the Fourth Proportional to 801.93, 1,201.08 and 431.09

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Solution

The fourth proportional to 801.93, 1,201.08 and 431.09 is: 645.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.93 : 1,201.08 = 431.09 : x
  2. Step 2: Convert to fraction form
    801.93/1,201.08 = 431.09/x
  3. Step 3: Cross multiply
    801.93x = 1,201.08 × 431.09
  4. Step 4: Simplify right side
    801.93x = 517,773.58
  5. Step 5: Solve for x
    x = 517,773.58/801.93
  6. Step 6: Final answer
    x = 645.66

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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.