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Finding the Fourth Proportional to 756.82, 1,042.70 and 494.38

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Solution

The fourth proportional to 756.82, 1,042.70 and 494.38 is: 681.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.82 : 1,042.70 = 494.38 : x
  2. Step 2: Convert to fraction form
    756.82/1,042.70 = 494.38/x
  3. Step 3: Cross multiply
    756.82x = 1,042.70 × 494.38
  4. Step 4: Simplify right side
    756.82x = 515,484.95
  5. Step 5: Solve for x
    x = 515,484.95/756.82
  6. Step 6: Final answer
    x = 681.12

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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.