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Finding the Fourth Proportional to 663.37, 994.24 and 389.65

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Solution

The fourth proportional to 663.37, 994.24 and 389.65 is: 584.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.37 : 994.24 = 389.65 : x
  2. Step 2: Convert to fraction form
    663.37/994.24 = 389.65/x
  3. Step 3: Cross multiply
    663.37x = 994.24 × 389.65
  4. Step 4: Simplify right side
    663.37x = 387,405.62
  5. Step 5: Solve for x
    x = 387,405.62/663.37
  6. Step 6: Final answer
    x = 584.00

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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.