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Finding the Fourth Proportional to 445.46, 663.31 and 440.56

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Solution

The fourth proportional to 445.46, 663.31 and 440.56 is: 656.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.46 : 663.31 = 440.56 : x
  2. Step 2: Convert to fraction form
    445.46/663.31 = 440.56/x
  3. Step 3: Cross multiply
    445.46x = 663.31 × 440.56
  4. Step 4: Simplify right side
    445.46x = 292,225.65
  5. Step 5: Solve for x
    x = 292,225.65/445.46
  6. Step 6: Final answer
    x = 656.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.