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Finding the Fourth Proportional to 625.76, 942.24 and 482.72

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Solution

The fourth proportional to 625.76, 942.24 and 482.72 is: 726.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.76 : 942.24 = 482.72 : x
  2. Step 2: Convert to fraction form
    625.76/942.24 = 482.72/x
  3. Step 3: Cross multiply
    625.76x = 942.24 × 482.72
  4. Step 4: Simplify right side
    625.76x = 454,838.09
  5. Step 5: Solve for x
    x = 454,838.09/625.76
  6. Step 6: Final answer
    x = 726.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.