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Finding the Fourth Proportional to 665.23, 997.98 and 549.80

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Solution

The fourth proportional to 665.23, 997.98 and 549.80 is: 824.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.23 : 997.98 = 549.80 : x
  2. Step 2: Convert to fraction form
    665.23/997.98 = 549.80/x
  3. Step 3: Cross multiply
    665.23x = 997.98 × 549.80
  4. Step 4: Simplify right side
    665.23x = 548,691.90
  5. Step 5: Solve for x
    x = 548,691.90/665.23
  6. Step 6: Final answer
    x = 824.82

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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.