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Finding the Fourth Proportional to 511.75, 705.80 and 334.70

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Solution

The fourth proportional to 511.75, 705.80 and 334.70 is: 461.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.75 : 705.80 = 334.70 : x
  2. Step 2: Convert to fraction form
    511.75/705.80 = 334.70/x
  3. Step 3: Cross multiply
    511.75x = 705.80 × 334.70
  4. Step 4: Simplify right side
    511.75x = 236,231.26
  5. Step 5: Solve for x
    x = 236,231.26/511.75
  6. Step 6: Final answer
    x = 461.61

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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.