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Finding the Fourth Proportional to 511.89, 706.19 and 346.20

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Solution

The fourth proportional to 511.89, 706.19 and 346.20 is: 477.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.89 : 706.19 = 346.20 : x
  2. Step 2: Convert to fraction form
    511.89/706.19 = 346.20/x
  3. Step 3: Cross multiply
    511.89x = 706.19 × 346.20
  4. Step 4: Simplify right side
    511.89x = 244,481.25
  5. Step 5: Solve for x
    x = 244,481.25/511.89
  6. Step 6: Final answer
    x = 477.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.