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Finding the Fourth Proportional to 511.30, 705.86 and 314.92

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Solution

The fourth proportional to 511.30, 705.86 and 314.92 is: 434.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.30 : 705.86 = 314.92 : x
  2. Step 2: Convert to fraction form
    511.30/705.86 = 314.92/x
  3. Step 3: Cross multiply
    511.30x = 705.86 × 314.92
  4. Step 4: Simplify right side
    511.30x = 222,289.43
  5. Step 5: Solve for x
    x = 222,289.43/511.30
  6. Step 6: Final answer
    x = 434.75

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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.