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Finding the Fourth Proportional to 663.96, 997.56 and 557.04

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Solution

The fourth proportional to 663.96, 997.56 and 557.04 is: 836.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.96 : 997.56 = 557.04 : x
  2. Step 2: Convert to fraction form
    663.96/997.56 = 557.04/x
  3. Step 3: Cross multiply
    663.96x = 997.56 × 557.04
  4. Step 4: Simplify right side
    663.96x = 555,680.82
  5. Step 5: Solve for x
    x = 555,680.82/663.96
  6. Step 6: Final answer
    x = 836.92

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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.