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Finding the Fourth Proportional to 778.44, 1,165.32 and 517.44

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Solution

The fourth proportional to 778.44, 1,165.32 and 517.44 is: 774.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.44 : 1,165.32 = 517.44 : x
  2. Step 2: Convert to fraction form
    778.44/1,165.32 = 517.44/x
  3. Step 3: Cross multiply
    778.44x = 1,165.32 × 517.44
  4. Step 4: Simplify right side
    778.44x = 602,983.18
  5. Step 5: Solve for x
    x = 602,983.18/778.44
  6. Step 6: Final answer
    x = 774.60

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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.