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Finding the Fourth Proportional to 727, 1,004.07 and 493.72

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Solution

The fourth proportional to 727, 1,004.07 and 493.72 is: 681.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    727 : 1,004.07 = 493.72 : x
  2. Step 2: Convert to fraction form
    727/1,004.07 = 493.72/x
  3. Step 3: Cross multiply
    727x = 1,004.07 × 493.72
  4. Step 4: Simplify right side
    727x = 495,729.44
  5. Step 5: Solve for x
    x = 495,729.44/727
  6. Step 6: Final answer
    x = 681.88

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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.