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Finding the Fourth Proportional to 452.28, 673.90 and 432.38

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Solution

The fourth proportional to 452.28, 673.90 and 432.38 is: 644.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.28 : 673.90 = 432.38 : x
  2. Step 2: Convert to fraction form
    452.28/673.90 = 432.38/x
  3. Step 3: Cross multiply
    452.28x = 673.90 × 432.38
  4. Step 4: Simplify right side
    452.28x = 291,380.88
  5. Step 5: Solve for x
    x = 291,380.88/452.28
  6. Step 6: Final answer
    x = 644.25

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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.