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Finding the Fourth Proportional to 891.99, 1,230.71 and 542.43

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Solution

The fourth proportional to 891.99, 1,230.71 and 542.43 is: 748.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.99 : 1,230.71 = 542.43 : x
  2. Step 2: Convert to fraction form
    891.99/1,230.71 = 542.43/x
  3. Step 3: Cross multiply
    891.99x = 1,230.71 × 542.43
  4. Step 4: Simplify right side
    891.99x = 667,571.31
  5. Step 5: Solve for x
    x = 667,571.31/891.99
  6. Step 6: Final answer
    x = 748.41

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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.