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Finding the Fourth Proportional to 801.60, 1,199.54 and 493.52

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Solution

The fourth proportional to 801.60, 1,199.54 and 493.52 is: 738.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.60 : 1,199.54 = 493.52 : x
  2. Step 2: Convert to fraction form
    801.60/1,199.54 = 493.52/x
  3. Step 3: Cross multiply
    801.60x = 1,199.54 × 493.52
  4. Step 4: Simplify right side
    801.60x = 591,996.98
  5. Step 5: Solve for x
    x = 591,996.98/801.60
  6. Step 6: Final answer
    x = 738.52

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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.