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Finding the Fourth Proportional to 682.45, 940.79 and 542.62

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Solution

The fourth proportional to 682.45, 940.79 and 542.62 is: 748.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.45 : 940.79 = 542.62 : x
  2. Step 2: Convert to fraction form
    682.45/940.79 = 542.62/x
  3. Step 3: Cross multiply
    682.45x = 940.79 × 542.62
  4. Step 4: Simplify right side
    682.45x = 510,488.76
  5. Step 5: Solve for x
    x = 510,488.76/682.45
  6. Step 6: Final answer
    x = 748.03

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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.