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Finding the Fourth Proportional to 682.09, 1,024.16 and 544.73

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Solution

The fourth proportional to 682.09, 1,024.16 and 544.73 is: 817.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.09 : 1,024.16 = 544.73 : x
  2. Step 2: Convert to fraction form
    682.09/1,024.16 = 544.73/x
  3. Step 3: Cross multiply
    682.09x = 1,024.16 × 544.73
  4. Step 4: Simplify right side
    682.09x = 557,885.90
  5. Step 5: Solve for x
    x = 557,885.90/682.09
  6. Step 6: Final answer
    x = 817.91

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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.