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Finding the Fourth Proportional to 663.43, 993.17 and 402.65

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Solution

The fourth proportional to 663.43, 993.17 and 402.65 is: 602.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.43 : 993.17 = 402.65 : x
  2. Step 2: Convert to fraction form
    663.43/993.17 = 402.65/x
  3. Step 3: Cross multiply
    663.43x = 993.17 × 402.65
  4. Step 4: Simplify right side
    663.43x = 399,894.93
  5. Step 5: Solve for x
    x = 399,894.93/663.43
  6. Step 6: Final answer
    x = 602.77

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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.