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Finding the Fourth Proportional to 663, 915.40 and 442.20

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Solution

The fourth proportional to 663, 915.40 and 442.20 is: 610.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    663 : 915.40 = 442.20 : x
  2. Step 2: Convert to fraction form
    663/915.40 = 442.20/x
  3. Step 3: Cross multiply
    663x = 915.40 × 442.20
  4. Step 4: Simplify right side
    663x = 404,789.88
  5. Step 5: Solve for x
    x = 404,789.88/663
  6. Step 6: Final answer
    x = 610.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.