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Finding the Fourth Proportional to 486.06, 731.97 and 437.87

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Solution

The fourth proportional to 486.06, 731.97 and 437.87 is: 659.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.06 : 731.97 = 437.87 : x
  2. Step 2: Convert to fraction form
    486.06/731.97 = 437.87/x
  3. Step 3: Cross multiply
    486.06x = 731.97 × 437.87
  4. Step 4: Simplify right side
    486.06x = 320,507.70
  5. Step 5: Solve for x
    x = 320,507.70/486.06
  6. Step 6: Final answer
    x = 659.40

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.