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Finding the Fourth Proportional to 671.94, 927.14 and 377.20

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Solution

The fourth proportional to 671.94, 927.14 and 377.20 is: 520.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.94 : 927.14 = 377.20 : x
  2. Step 2: Convert to fraction form
    671.94/927.14 = 377.20/x
  3. Step 3: Cross multiply
    671.94x = 927.14 × 377.20
  4. Step 4: Simplify right side
    671.94x = 349,717.21
  5. Step 5: Solve for x
    x = 349,717.21/671.94
  6. Step 6: Final answer
    x = 520.46

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