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Finding the Fourth Proportional to 511.72, 762.41 and 487.24

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Solution

The fourth proportional to 511.72, 762.41 and 487.24 is: 725.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.72 : 762.41 = 487.24 : x
  2. Step 2: Convert to fraction form
    511.72/762.41 = 487.24/x
  3. Step 3: Cross multiply
    511.72x = 762.41 × 487.24
  4. Step 4: Simplify right side
    511.72x = 371,476.65
  5. Step 5: Solve for x
    x = 371,476.65/511.72
  6. Step 6: Final answer
    x = 725.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.