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Finding the Fourth Proportional to 778.56, 1,165.92 and 580.43

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Solution

The fourth proportional to 778.56, 1,165.92 and 580.43 is: 869.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.56 : 1,165.92 = 580.43 : x
  2. Step 2: Convert to fraction form
    778.56/1,165.92 = 580.43/x
  3. Step 3: Cross multiply
    778.56x = 1,165.92 × 580.43
  4. Step 4: Simplify right side
    778.56x = 676,733.21
  5. Step 5: Solve for x
    x = 676,733.21/778.56
  6. Step 6: Final answer
    x = 869.21

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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.