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Finding the Fourth Proportional to 671.56, 927.36 and 423.32

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Solution

The fourth proportional to 671.56, 927.36 and 423.32 is: 584.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.56 : 927.36 = 423.32 : x
  2. Step 2: Convert to fraction form
    671.56/927.36 = 423.32/x
  3. Step 3: Cross multiply
    671.56x = 927.36 × 423.32
  4. Step 4: Simplify right side
    671.56x = 392,570.04
  5. Step 5: Solve for x
    x = 392,570.04/671.56
  6. Step 6: Final answer
    x = 584.56

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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.