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Finding the Fourth Proportional to 671.74, 927.38 and 514.07

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Solution

The fourth proportional to 671.74, 927.38 and 514.07 is: 709.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.74 : 927.38 = 514.07 : x
  2. Step 2: Convert to fraction form
    671.74/927.38 = 514.07/x
  3. Step 3: Cross multiply
    671.74x = 927.38 × 514.07
  4. Step 4: Simplify right side
    671.74x = 476,738.24
  5. Step 5: Solve for x
    x = 476,738.24/671.74
  6. Step 6: Final answer
    x = 709.71

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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.