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Finding the Fourth Proportional to 499.56, 743.97 and 486.76

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Solution

The fourth proportional to 499.56, 743.97 and 486.76 is: 724.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.56 : 743.97 = 486.76 : x
  2. Step 2: Convert to fraction form
    499.56/743.97 = 486.76/x
  3. Step 3: Cross multiply
    499.56x = 743.97 × 486.76
  4. Step 4: Simplify right side
    499.56x = 362,134.84
  5. Step 5: Solve for x
    x = 362,134.84/499.56
  6. Step 6: Final answer
    x = 724.91

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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.