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Finding the Fourth Proportional to 511.93, 765.96 and 314.33

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Solution

The fourth proportional to 511.93, 765.96 and 314.33 is: 470.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.93 : 765.96 = 314.33 : x
  2. Step 2: Convert to fraction form
    511.93/765.96 = 314.33/x
  3. Step 3: Cross multiply
    511.93x = 765.96 × 314.33
  4. Step 4: Simplify right side
    511.93x = 240,764.21
  5. Step 5: Solve for x
    x = 240,764.21/511.93
  6. Step 6: Final answer
    x = 470.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.