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Finding the Fourth Proportional to 511.05, 705.70 and 334.05

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Solution

The fourth proportional to 511.05, 705.70 and 334.05 is: 461.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.05 : 705.70 = 334.05 : x
  2. Step 2: Convert to fraction form
    511.05/705.70 = 334.05/x
  3. Step 3: Cross multiply
    511.05x = 705.70 × 334.05
  4. Step 4: Simplify right side
    511.05x = 235,739.09
  5. Step 5: Solve for x
    x = 235,739.09/511.05
  6. Step 6: Final answer
    x = 461.28

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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.