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Finding the Fourth Proportional to 742.68, 1,115.10 and 548.28

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Solution

The fourth proportional to 742.68, 1,115.10 and 548.28 is: 823.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.68 : 1,115.10 = 548.28 : x
  2. Step 2: Convert to fraction form
    742.68/1,115.10 = 548.28/x
  3. Step 3: Cross multiply
    742.68x = 1,115.10 × 548.28
  4. Step 4: Simplify right side
    742.68x = 611,387.03
  5. Step 5: Solve for x
    x = 611,387.03/742.68
  6. Step 6: Final answer
    x = 823.22

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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.