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Finding the Fourth Proportional to 454.11, 628.97 and 424.38

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Solution

The fourth proportional to 454.11, 628.97 and 424.38 is: 587.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.11 : 628.97 = 424.38 : x
  2. Step 2: Convert to fraction form
    454.11/628.97 = 424.38/x
  3. Step 3: Cross multiply
    454.11x = 628.97 × 424.38
  4. Step 4: Simplify right side
    454.11x = 266,920.17
  5. Step 5: Solve for x
    x = 266,920.17/454.11
  6. Step 6: Final answer
    x = 587.79

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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.