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Finding the Fourth Proportional to 801.36, 1,200.24 and 492.96

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Solution

The fourth proportional to 801.36, 1,200.24 and 492.96 is: 738.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.36 : 1,200.24 = 492.96 : x
  2. Step 2: Convert to fraction form
    801.36/1,200.24 = 492.96/x
  3. Step 3: Cross multiply
    801.36x = 1,200.24 × 492.96
  4. Step 4: Simplify right side
    801.36x = 591,670.31
  5. Step 5: Solve for x
    x = 591,670.31/801.36
  6. Step 6: Final answer
    x = 738.33

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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.