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Finding the Fourth Proportional to 891.88, 1,231.02 and 542.50

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Solution

The fourth proportional to 891.88, 1,231.02 and 542.50 is: 748.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.88 : 1,231.02 = 542.50 : x
  2. Step 2: Convert to fraction form
    891.88/1,231.02 = 542.50/x
  3. Step 3: Cross multiply
    891.88x = 1,231.02 × 542.50
  4. Step 4: Simplify right side
    891.88x = 667,828.35
  5. Step 5: Solve for x
    x = 667,828.35/891.88
  6. Step 6: Final answer
    x = 748.79

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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.