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Finding the Fourth Proportional to 838.81, 1,257.98 and 427.38

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Solution

The fourth proportional to 838.81, 1,257.98 and 427.38 is: 640.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.81 : 1,257.98 = 427.38 : x
  2. Step 2: Convert to fraction form
    838.81/1,257.98 = 427.38/x
  3. Step 3: Cross multiply
    838.81x = 1,257.98 × 427.38
  4. Step 4: Simplify right side
    838.81x = 537,635.71
  5. Step 5: Solve for x
    x = 537,635.71/838.81
  6. Step 6: Final answer
    x = 640.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.