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Finding the Fourth Proportional to 682.97, 941.88 and 542.85

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Solution

The fourth proportional to 682.97, 941.88 and 542.85 is: 748.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.97 : 941.88 = 542.85 : x
  2. Step 2: Convert to fraction form
    682.97/941.88 = 542.85/x
  3. Step 3: Cross multiply
    682.97x = 941.88 × 542.85
  4. Step 4: Simplify right side
    682.97x = 511,300.31
  5. Step 5: Solve for x
    x = 511,300.31/682.97
  6. Step 6: Final answer
    x = 748.65

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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.