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Finding the Fourth Proportional to 838.34, 1,257.86 and 427.25

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Solution

The fourth proportional to 838.34, 1,257.86 and 427.25 is: 641.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.34 : 1,257.86 = 427.25 : x
  2. Step 2: Convert to fraction form
    838.34/1,257.86 = 427.25/x
  3. Step 3: Cross multiply
    838.34x = 1,257.86 × 427.25
  4. Step 4: Simplify right side
    838.34x = 537,420.69
  5. Step 5: Solve for x
    x = 537,420.69/838.34
  6. Step 6: Final answer
    x = 641.05

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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.