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Finding the Fourth Proportional to 663.59, 997.38 and 548.77

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Solution

The fourth proportional to 663.59, 997.38 and 548.77 is: 824.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.59 : 997.38 = 548.77 : x
  2. Step 2: Convert to fraction form
    663.59/997.38 = 548.77/x
  3. Step 3: Cross multiply
    663.59x = 997.38 × 548.77
  4. Step 4: Simplify right side
    663.59x = 547,332.22
  5. Step 5: Solve for x
    x = 547,332.22/663.59
  6. Step 6: Final answer
    x = 824.80

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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.