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Finding the Fourth Proportional to 663.57, 993.47 and 446.76

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Solution

The fourth proportional to 663.57, 993.47 and 446.76 is: 668.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.57 : 993.47 = 446.76 : x
  2. Step 2: Convert to fraction form
    663.57/993.47 = 446.76/x
  3. Step 3: Cross multiply
    663.57x = 993.47 × 446.76
  4. Step 4: Simplify right side
    663.57x = 443,840.42
  5. Step 5: Solve for x
    x = 443,840.42/663.57
  6. Step 6: Final answer
    x = 668.87

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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.