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Finding the Fourth Proportional to 801.19, 1,200.12 and 475.75

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Solution

The fourth proportional to 801.19, 1,200.12 and 475.75 is: 712.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.19 : 1,200.12 = 475.75 : x
  2. Step 2: Convert to fraction form
    801.19/1,200.12 = 475.75/x
  3. Step 3: Cross multiply
    801.19x = 1,200.12 × 475.75
  4. Step 4: Simplify right side
    801.19x = 570,957.09
  5. Step 5: Solve for x
    x = 570,957.09/801.19
  6. Step 6: Final answer
    x = 712.64

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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.