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Finding the Fourth Proportional to 451.78, 626.30 and 427.14

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Solution

The fourth proportional to 451.78, 626.30 and 427.14 is: 592.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.78 : 626.30 = 427.14 : x
  2. Step 2: Convert to fraction form
    451.78/626.30 = 427.14/x
  3. Step 3: Cross multiply
    451.78x = 626.30 × 427.14
  4. Step 4: Simplify right side
    451.78x = 267,517.78
  5. Step 5: Solve for x
    x = 267,517.78/451.78
  6. Step 6: Final answer
    x = 592.14

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.