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Finding the Fourth Proportional to 801.83, 1,201.20 and 471.96

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Solution

The fourth proportional to 801.83, 1,201.20 and 471.96 is: 707.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.83 : 1,201.20 = 471.96 : x
  2. Step 2: Convert to fraction form
    801.83/1,201.20 = 471.96/x
  3. Step 3: Cross multiply
    801.83x = 1,201.20 × 471.96
  4. Step 4: Simplify right side
    801.83x = 566,918.35
  5. Step 5: Solve for x
    x = 566,918.35/801.83
  6. Step 6: Final answer
    x = 707.04

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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.