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Finding the Fourth Proportional to 765.60, 1,148.25 and 349.03

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Solution

The fourth proportional to 765.60, 1,148.25 and 349.03 is: 523.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.60 : 1,148.25 = 349.03 : x
  2. Step 2: Convert to fraction form
    765.60/1,148.25 = 349.03/x
  3. Step 3: Cross multiply
    765.60x = 1,148.25 × 349.03
  4. Step 4: Simplify right side
    765.60x = 400,773.70
  5. Step 5: Solve for x
    x = 400,773.70/765.60
  6. Step 6: Final answer
    x = 523.48

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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.