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Finding the Fourth Proportional to 671.76, 927.38 and 451.87

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Solution

The fourth proportional to 671.76, 927.38 and 451.87 is: 623.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.76 : 927.38 = 451.87 : x
  2. Step 2: Convert to fraction form
    671.76/927.38 = 451.87/x
  3. Step 3: Cross multiply
    671.76x = 927.38 × 451.87
  4. Step 4: Simplify right side
    671.76x = 419,054.01
  5. Step 5: Solve for x
    x = 419,054.01/671.76
  6. Step 6: Final answer
    x = 623.82

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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.