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Finding the Fourth Proportional to 511.92, 710.07 and 494.43

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Solution

The fourth proportional to 511.92, 710.07 and 494.43 is: 685.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.92 : 710.07 = 494.43 : x
  2. Step 2: Convert to fraction form
    511.92/710.07 = 494.43/x
  3. Step 3: Cross multiply
    511.92x = 710.07 × 494.43
  4. Step 4: Simplify right side
    511.92x = 351,079.91
  5. Step 5: Solve for x
    x = 351,079.91/511.92
  6. Step 6: Final answer
    x = 685.81

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.