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Finding the Fourth Proportional to 671.92, 927.12 and 406.51

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Solution

The fourth proportional to 671.92, 927.12 and 406.51 is: 560.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.92 : 927.12 = 406.51 : x
  2. Step 2: Convert to fraction form
    671.92/927.12 = 406.51/x
  3. Step 3: Cross multiply
    671.92x = 927.12 × 406.51
  4. Step 4: Simplify right side
    671.92x = 376,883.55
  5. Step 5: Solve for x
    x = 376,883.55/671.92
  6. Step 6: Final answer
    x = 560.91

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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.