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Finding the Fourth Proportional to 511.56, 705.75 and 334.46

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Solution

The fourth proportional to 511.56, 705.75 and 334.46 is: 461.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.56 : 705.75 = 334.46 : x
  2. Step 2: Convert to fraction form
    511.56/705.75 = 334.46/x
  3. Step 3: Cross multiply
    511.56x = 705.75 × 334.46
  4. Step 4: Simplify right side
    511.56x = 236,045.15
  5. Step 5: Solve for x
    x = 236,045.15/511.56
  6. Step 6: Final answer
    x = 461.42

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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.