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Finding the Fourth Proportional to 663.84, 997.92 and 456.48

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Solution

The fourth proportional to 663.84, 997.92 and 456.48 is: 686.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.84 : 997.92 = 456.48 : x
  2. Step 2: Convert to fraction form
    663.84/997.92 = 456.48/x
  3. Step 3: Cross multiply
    663.84x = 997.92 × 456.48
  4. Step 4: Simplify right side
    663.84x = 455,530.52
  5. Step 5: Solve for x
    x = 455,530.52/663.84
  6. Step 6: Final answer
    x = 686.21

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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.