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Finding the Fourth Proportional to 778.32, 1,165.05 and 518.54

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Solution

The fourth proportional to 778.32, 1,165.05 and 518.54 is: 776.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.32 : 1,165.05 = 518.54 : x
  2. Step 2: Convert to fraction form
    778.32/1,165.05 = 518.54/x
  3. Step 3: Cross multiply
    778.32x = 1,165.05 × 518.54
  4. Step 4: Simplify right side
    778.32x = 604,119.20
  5. Step 5: Solve for x
    x = 604,119.20/778.32
  6. Step 6: Final answer
    x = 776.18

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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.