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Finding the Fourth Proportional to 671.82, 927.36 and 523.86

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Solution

The fourth proportional to 671.82, 927.36 and 523.86 is: 723.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.82 : 927.36 = 523.86 : x
  2. Step 2: Convert to fraction form
    671.82/927.36 = 523.86/x
  3. Step 3: Cross multiply
    671.82x = 927.36 × 523.86
  4. Step 4: Simplify right side
    671.82x = 485,806.81
  5. Step 5: Solve for x
    x = 485,806.81/671.82
  6. Step 6: Final answer
    x = 723.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.