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Finding the Fourth Proportional to 682.87, 1,024.92 and 477.61

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Solution

The fourth proportional to 682.87, 1,024.92 and 477.61 is: 716.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.87 : 1,024.92 = 477.61 : x
  2. Step 2: Convert to fraction form
    682.87/1,024.92 = 477.61/x
  3. Step 3: Cross multiply
    682.87x = 1,024.92 × 477.61
  4. Step 4: Simplify right side
    682.87x = 489,512.04
  5. Step 5: Solve for x
    x = 489,512.04/682.87
  6. Step 6: Final answer
    x = 716.85

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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.