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Finding the Fourth Proportional to 445.29, 663.55 and 432.75

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Solution

The fourth proportional to 445.29, 663.55 and 432.75 is: 644.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.29 : 663.55 = 432.75 : x
  2. Step 2: Convert to fraction form
    445.29/663.55 = 432.75/x
  3. Step 3: Cross multiply
    445.29x = 663.55 × 432.75
  4. Step 4: Simplify right side
    445.29x = 287,151.26
  5. Step 5: Solve for x
    x = 287,151.26/445.29
  6. Step 6: Final answer
    x = 644.86

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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.