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Finding the Fourth Proportional to 663.90, 994.56 and 355.65

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Solution

The fourth proportional to 663.90, 994.56 and 355.65 is: 532.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.90 : 994.56 = 355.65 : x
  2. Step 2: Convert to fraction form
    663.90/994.56 = 355.65/x
  3. Step 3: Cross multiply
    663.90x = 994.56 × 355.65
  4. Step 4: Simplify right side
    663.90x = 353,715.26
  5. Step 5: Solve for x
    x = 353,715.26/663.90
  6. Step 6: Final answer
    x = 532.78

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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.