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Finding the Fourth Proportional to 801.24, 1,200.52 and 492.43

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Solution

The fourth proportional to 801.24, 1,200.52 and 492.43 is: 737.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.24 : 1,200.52 = 492.43 : x
  2. Step 2: Convert to fraction form
    801.24/1,200.52 = 492.43/x
  3. Step 3: Cross multiply
    801.24x = 1,200.52 × 492.43
  4. Step 4: Simplify right side
    801.24x = 591,172.06
  5. Step 5: Solve for x
    x = 591,172.06/801.24
  6. Step 6: Final answer
    x = 737.82

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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.