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Finding the Fourth Proportional to 663.11, 915.48 and 442.37

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Solution

The fourth proportional to 663.11, 915.48 and 442.37 is: 610.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.11 : 915.48 = 442.37 : x
  2. Step 2: Convert to fraction form
    663.11/915.48 = 442.37/x
  3. Step 3: Cross multiply
    663.11x = 915.48 × 442.37
  4. Step 4: Simplify right side
    663.11x = 404,980.89
  5. Step 5: Solve for x
    x = 404,980.89/663.11
  6. Step 6: Final answer
    x = 610.73

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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.