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Finding the Fourth Proportional to 671.96, 927.10 and 475.14

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Solution

The fourth proportional to 671.96, 927.10 and 475.14 is: 655.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.96 : 927.10 = 475.14 : x
  2. Step 2: Convert to fraction form
    671.96/927.10 = 475.14/x
  3. Step 3: Cross multiply
    671.96x = 927.10 × 475.14
  4. Step 4: Simplify right side
    671.96x = 440,502.29
  5. Step 5: Solve for x
    x = 440,502.29/671.96
  6. Step 6: Final answer
    x = 655.55

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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.