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Finding the Fourth Proportional to 648.56, 972.14 and 442.61

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Solution

The fourth proportional to 648.56, 972.14 and 442.61 is: 663.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.56 : 972.14 = 442.61 : x
  2. Step 2: Convert to fraction form
    648.56/972.14 = 442.61/x
  3. Step 3: Cross multiply
    648.56x = 972.14 × 442.61
  4. Step 4: Simplify right side
    648.56x = 430,278.89
  5. Step 5: Solve for x
    x = 430,278.89/648.56
  6. Step 6: Final answer
    x = 663.44

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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.