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Finding the Fourth Proportional to 511.69, 767.43 and 146.41

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Solution

The fourth proportional to 511.69, 767.43 and 146.41 is: 219.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.69 : 767.43 = 146.41 : x
  2. Step 2: Convert to fraction form
    511.69/767.43 = 146.41/x
  3. Step 3: Cross multiply
    511.69x = 767.43 × 146.41
  4. Step 4: Simplify right side
    511.69x = 112,360.39
  5. Step 5: Solve for x
    x = 112,360.39/511.69
  6. Step 6: Final answer
    x = 219.59

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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.