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Finding the Fourth Proportional to 682.80, 940.61 and 542.87

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Solution

The fourth proportional to 682.80, 940.61 and 542.87 is: 747.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.80 : 940.61 = 542.87 : x
  2. Step 2: Convert to fraction form
    682.80/940.61 = 542.87/x
  3. Step 3: Cross multiply
    682.80x = 940.61 × 542.87
  4. Step 4: Simplify right side
    682.80x = 510,629.13
  5. Step 5: Solve for x
    x = 510,629.13/682.80
  6. Step 6: Final answer
    x = 747.85

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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.