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Finding the Fourth Proportional to 779, 1,166.20 and 488.48

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Solution

The fourth proportional to 779, 1,166.20 and 488.48 is: 731.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    779 : 1,166.20 = 488.48 : x
  2. Step 2: Convert to fraction form
    779/1,166.20 = 488.48/x
  3. Step 3: Cross multiply
    779x = 1,166.20 × 488.48
  4. Step 4: Simplify right side
    779x = 569,665.38
  5. Step 5: Solve for x
    x = 569,665.38/779
  6. Step 6: Final answer
    x = 731.28

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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.