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Finding the Fourth Proportional to 674.49, 931.05 and 425.79

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Solution

The fourth proportional to 674.49, 931.05 and 425.79 is: 587.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.49 : 931.05 = 425.79 : x
  2. Step 2: Convert to fraction form
    674.49/931.05 = 425.79/x
  3. Step 3: Cross multiply
    674.49x = 931.05 × 425.79
  4. Step 4: Simplify right side
    674.49x = 396,431.78
  5. Step 5: Solve for x
    x = 396,431.78/674.49
  6. Step 6: Final answer
    x = 587.75

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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.