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Finding the Fourth Proportional to 511.22, 705.87 and 334.29

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Solution

The fourth proportional to 511.22, 705.87 and 334.29 is: 461.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.22 : 705.87 = 334.29 : x
  2. Step 2: Convert to fraction form
    511.22/705.87 = 334.29/x
  3. Step 3: Cross multiply
    511.22x = 705.87 × 334.29
  4. Step 4: Simplify right side
    511.22x = 235,965.28
  5. Step 5: Solve for x
    x = 235,965.28/511.22
  6. Step 6: Final answer
    x = 461.58

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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.