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Finding the Fourth Proportional to 674.42, 931.14 and 425.84

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Solution

The fourth proportional to 674.42, 931.14 and 425.84 is: 587.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.42 : 931.14 = 425.84 : x
  2. Step 2: Convert to fraction form
    674.42/931.14 = 425.84/x
  3. Step 3: Cross multiply
    674.42x = 931.14 × 425.84
  4. Step 4: Simplify right side
    674.42x = 396,512.00
  5. Step 5: Solve for x
    x = 396,512.00/674.42
  6. Step 6: Final answer
    x = 587.93

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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.