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Finding the Fourth Proportional to 891.36, 1,229.88 and 542.16

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Solution

The fourth proportional to 891.36, 1,229.88 and 542.16 is: 748.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.36 : 1,229.88 = 542.16 : x
  2. Step 2: Convert to fraction form
    891.36/1,229.88 = 542.16/x
  3. Step 3: Cross multiply
    891.36x = 1,229.88 × 542.16
  4. Step 4: Simplify right side
    891.36x = 666,791.74
  5. Step 5: Solve for x
    x = 666,791.74/891.36
  6. Step 6: Final answer
    x = 748.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.