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Finding the Fourth Proportional to 671.52, 927.40 and 409.72

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Solution

The fourth proportional to 671.52, 927.40 and 409.72 is: 565.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.52 : 927.40 = 409.72 : x
  2. Step 2: Convert to fraction form
    671.52/927.40 = 409.72/x
  3. Step 3: Cross multiply
    671.52x = 927.40 × 409.72
  4. Step 4: Simplify right side
    671.52x = 379,974.33
  5. Step 5: Solve for x
    x = 379,974.33/671.52
  6. Step 6: Final answer
    x = 565.84

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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.