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Finding the Fourth Proportional to 437.43, 650.72 and 433.04

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Solution

The fourth proportional to 437.43, 650.72 and 433.04 is: 644.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.43 : 650.72 = 433.04 : x
  2. Step 2: Convert to fraction form
    437.43/650.72 = 433.04/x
  3. Step 3: Cross multiply
    437.43x = 650.72 × 433.04
  4. Step 4: Simplify right side
    437.43x = 281,785.62
  5. Step 5: Solve for x
    x = 281,785.62/437.43
  6. Step 6: Final answer
    x = 644.18

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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.