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Finding the Fourth Proportional to 756.57, 1,042.35 and 494.13

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Solution

The fourth proportional to 756.57, 1,042.35 and 494.13 is: 680.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.57 : 1,042.35 = 494.13 : x
  2. Step 2: Convert to fraction form
    756.57/1,042.35 = 494.13/x
  3. Step 3: Cross multiply
    756.57x = 1,042.35 × 494.13
  4. Step 4: Simplify right side
    756.57x = 515,056.41
  5. Step 5: Solve for x
    x = 515,056.41/756.57
  6. Step 6: Final answer
    x = 680.78

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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.