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Finding the Fourth Proportional to 449.46, 672.71 and 433.40

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Solution

The fourth proportional to 449.46, 672.71 and 433.40 is: 648.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.46 : 672.71 = 433.40 : x
  2. Step 2: Convert to fraction form
    449.46/672.71 = 433.40/x
  3. Step 3: Cross multiply
    449.46x = 672.71 × 433.40
  4. Step 4: Simplify right side
    449.46x = 291,546.98
  5. Step 5: Solve for x
    x = 291,546.98/449.46
  6. Step 6: Final answer
    x = 648.66

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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.