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Finding the Fourth Proportional to 625.31, 936.57 and 442.15

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Solution

The fourth proportional to 625.31, 936.57 and 442.15 is: 662.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.31 : 936.57 = 442.15 : x
  2. Step 2: Convert to fraction form
    625.31/936.57 = 442.15/x
  3. Step 3: Cross multiply
    625.31x = 936.57 × 442.15
  4. Step 4: Simplify right side
    625.31x = 414,102.08
  5. Step 5: Solve for x
    x = 414,102.08/625.31
  6. Step 6: Final answer
    x = 662.23

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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.