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Finding the Fourth Proportional to 663.29, 993.11 and 337.06

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Solution

The fourth proportional to 663.29, 993.11 and 337.06 is: 504.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.29 : 993.11 = 337.06 : x
  2. Step 2: Convert to fraction form
    663.29/993.11 = 337.06/x
  3. Step 3: Cross multiply
    663.29x = 993.11 × 337.06
  4. Step 4: Simplify right side
    663.29x = 334,737.66
  5. Step 5: Solve for x
    x = 334,737.66/663.29
  6. Step 6: Final answer
    x = 504.66

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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.