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Finding the Fourth Proportional to 997.78, 1,497 and 442.41

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Solution

The fourth proportional to 997.78, 1,497 and 442.41 is: 663.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.78 : 1,497 = 442.41 : x
  2. Step 2: Convert to fraction form
    997.78/1,497 = 442.41/x
  3. Step 3: Cross multiply
    997.78x = 1,497 × 442.41
  4. Step 4: Simplify right side
    997.78x = 662,287.77
  5. Step 5: Solve for x
    x = 662,287.77/997.78
  6. Step 6: Final answer
    x = 663.76

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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.