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Finding the Fourth Proportional to 728.60, 1,004.76 and 492.72

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Solution

The fourth proportional to 728.60, 1,004.76 and 492.72 is: 679.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.60 : 1,004.76 = 492.72 : x
  2. Step 2: Convert to fraction form
    728.60/1,004.76 = 492.72/x
  3. Step 3: Cross multiply
    728.60x = 1,004.76 × 492.72
  4. Step 4: Simplify right side
    728.60x = 495,065.35
  5. Step 5: Solve for x
    x = 495,065.35/728.60
  6. Step 6: Final answer
    x = 679.47

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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.