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Finding the Fourth Proportional to 494.46, 738.23 and 425.70

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Solution

The fourth proportional to 494.46, 738.23 and 425.70 is: 635.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.46 : 738.23 = 425.70 : x
  2. Step 2: Convert to fraction form
    494.46/738.23 = 425.70/x
  3. Step 3: Cross multiply
    494.46x = 738.23 × 425.70
  4. Step 4: Simplify right side
    494.46x = 314,262.38
  5. Step 5: Solve for x
    x = 314,262.38/494.46
  6. Step 6: Final answer
    x = 635.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.