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Finding the Fourth Proportional to 511, 762.67 and 505.48

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Solution

The fourth proportional to 511, 762.67 and 505.48 is: 754.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    511 : 762.67 = 505.48 : x
  2. Step 2: Convert to fraction form
    511/762.67 = 505.48/x
  3. Step 3: Cross multiply
    511x = 762.67 × 505.48
  4. Step 4: Simplify right side
    511x = 385,514.43
  5. Step 5: Solve for x
    x = 385,514.43/511
  6. Step 6: Final answer
    x = 754.43

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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.