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Finding the Fourth Proportional to 827.98, 1,142.62 and 454.97

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Solution

The fourth proportional to 827.98, 1,142.62 and 454.97 is: 627.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.98 : 1,142.62 = 454.97 : x
  2. Step 2: Convert to fraction form
    827.98/1,142.62 = 454.97/x
  3. Step 3: Cross multiply
    827.98x = 1,142.62 × 454.97
  4. Step 4: Simplify right side
    827.98x = 519,859.54
  5. Step 5: Solve for x
    x = 519,859.54/827.98
  6. Step 6: Final answer
    x = 627.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.