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Finding the Fourth Proportional to 778.30, 1,165.62 and 366.11

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Solution

The fourth proportional to 778.30, 1,165.62 and 366.11 is: 548.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.30 : 1,165.62 = 366.11 : x
  2. Step 2: Convert to fraction form
    778.30/1,165.62 = 366.11/x
  3. Step 3: Cross multiply
    778.30x = 1,165.62 × 366.11
  4. Step 4: Simplify right side
    778.30x = 426,745.14
  5. Step 5: Solve for x
    x = 426,745.14/778.30
  6. Step 6: Final answer
    x = 548.30

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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.