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Finding the Fourth Proportional to 801.47, 1,201.75 and 558.11

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Solution

The fourth proportional to 801.47, 1,201.75 and 558.11 is: 836.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.47 : 1,201.75 = 558.11 : x
  2. Step 2: Convert to fraction form
    801.47/1,201.75 = 558.11/x
  3. Step 3: Cross multiply
    801.47x = 1,201.75 × 558.11
  4. Step 4: Simplify right side
    801.47x = 670,708.69
  5. Step 5: Solve for x
    x = 670,708.69/801.47
  6. Step 6: Final answer
    x = 836.85

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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.