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Finding the Fourth Proportional to 511.78, 767.67 and 146.57

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Solution

The fourth proportional to 511.78, 767.67 and 146.57 is: 219.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.78 : 767.67 = 146.57 : x
  2. Step 2: Convert to fraction form
    511.78/767.67 = 146.57/x
  3. Step 3: Cross multiply
    511.78x = 767.67 × 146.57
  4. Step 4: Simplify right side
    511.78x = 112,517.76
  5. Step 5: Solve for x
    x = 112,517.76/511.78
  6. Step 6: Final answer
    x = 219.85

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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.