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Finding the Fourth Proportional to 674.19, 930.63 and 425.87

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Solution

The fourth proportional to 674.19, 930.63 and 425.87 is: 587.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.19 : 930.63 = 425.87 : x
  2. Step 2: Convert to fraction form
    674.19/930.63 = 425.87/x
  3. Step 3: Cross multiply
    674.19x = 930.63 × 425.87
  4. Step 4: Simplify right side
    674.19x = 396,327.40
  5. Step 5: Solve for x
    x = 396,327.40/674.19
  6. Step 6: Final answer
    x = 587.86

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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.