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Finding the Fourth Proportional to 625.92, 936.96 and 463.20

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Solution

The fourth proportional to 625.92, 936.96 and 463.20 is: 693.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.92 : 936.96 = 463.20 : x
  2. Step 2: Convert to fraction form
    625.92/936.96 = 463.20/x
  3. Step 3: Cross multiply
    625.92x = 936.96 × 463.20
  4. Step 4: Simplify right side
    625.92x = 433,999.87
  5. Step 5: Solve for x
    x = 433,999.87/625.92
  6. Step 6: Final answer
    x = 693.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.