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Finding the Fourth Proportional to 625.56, 937.29 and 442.05

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Solution

The fourth proportional to 625.56, 937.29 and 442.05 is: 662.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.56 : 937.29 = 442.05 : x
  2. Step 2: Convert to fraction form
    625.56/937.29 = 442.05/x
  3. Step 3: Cross multiply
    625.56x = 937.29 × 442.05
  4. Step 4: Simplify right side
    625.56x = 414,329.04
  5. Step 5: Solve for x
    x = 414,329.04/625.56
  6. Step 6: Final answer
    x = 662.33

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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.