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Finding the Fourth Proportional to 674.96, 931.31 and 426.14

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Solution

The fourth proportional to 674.96, 931.31 and 426.14 is: 587.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.96 : 931.31 = 426.14 : x
  2. Step 2: Convert to fraction form
    674.96/931.31 = 426.14/x
  3. Step 3: Cross multiply
    674.96x = 931.31 × 426.14
  4. Step 4: Simplify right side
    674.96x = 396,869.27
  5. Step 5: Solve for x
    x = 396,869.27/674.96
  6. Step 6: Final answer
    x = 587.99

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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.