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Finding the Fourth Proportional to 727.52, 1,002.48 and 560.72

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Solution

The fourth proportional to 727.52, 1,002.48 and 560.72 is: 772.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.52 : 1,002.48 = 560.72 : x
  2. Step 2: Convert to fraction form
    727.52/1,002.48 = 560.72/x
  3. Step 3: Cross multiply
    727.52x = 1,002.48 × 560.72
  4. Step 4: Simplify right side
    727.52x = 562,110.59
  5. Step 5: Solve for x
    x = 562,110.59/727.52
  6. Step 6: Final answer
    x = 772.64

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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.