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Finding the Fourth Proportional to 511.50, 705.78 and 314.94

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Solution

The fourth proportional to 511.50, 705.78 and 314.94 is: 434.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.50 : 705.78 = 314.94 : x
  2. Step 2: Convert to fraction form
    511.50/705.78 = 314.94/x
  3. Step 3: Cross multiply
    511.50x = 705.78 × 314.94
  4. Step 4: Simplify right side
    511.50x = 222,278.35
  5. Step 5: Solve for x
    x = 222,278.35/511.50
  6. Step 6: Final answer
    x = 434.56

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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.