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Finding the Fourth Proportional to 727.46, 1,002.33 and 494.18

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Solution

The fourth proportional to 727.46, 1,002.33 and 494.18 is: 680.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.46 : 1,002.33 = 494.18 : x
  2. Step 2: Convert to fraction form
    727.46/1,002.33 = 494.18/x
  3. Step 3: Cross multiply
    727.46x = 1,002.33 × 494.18
  4. Step 4: Simplify right side
    727.46x = 495,331.44
  5. Step 5: Solve for x
    x = 495,331.44/727.46
  6. Step 6: Final answer
    x = 680.91

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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.