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Finding the Fourth Proportional to 725.42, 1,086.74 and 433.16

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Solution

The fourth proportional to 725.42, 1,086.74 and 433.16 is: 648.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.42 : 1,086.74 = 433.16 : x
  2. Step 2: Convert to fraction form
    725.42/1,086.74 = 433.16/x
  3. Step 3: Cross multiply
    725.42x = 1,086.74 × 433.16
  4. Step 4: Simplify right side
    725.42x = 470,726.12
  5. Step 5: Solve for x
    x = 470,726.12/725.42
  6. Step 6: Final answer
    x = 648.90

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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.