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Finding the Fourth Proportional to 821.90, 1,133.91 and 542.27

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Solution

The fourth proportional to 821.90, 1,133.91 and 542.27 is: 748.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.90 : 1,133.91 = 542.27 : x
  2. Step 2: Convert to fraction form
    821.90/1,133.91 = 542.27/x
  3. Step 3: Cross multiply
    821.90x = 1,133.91 × 542.27
  4. Step 4: Simplify right side
    821.90x = 614,879.71
  5. Step 5: Solve for x
    x = 614,879.71/821.90
  6. Step 6: Final answer
    x = 748.12

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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.