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Finding the Fourth Proportional to 511.78, 764.48 and 438.88

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Solution

The fourth proportional to 511.78, 764.48 and 438.88 is: 655.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.78 : 764.48 = 438.88 : x
  2. Step 2: Convert to fraction form
    511.78/764.48 = 438.88/x
  3. Step 3: Cross multiply
    511.78x = 764.48 × 438.88
  4. Step 4: Simplify right side
    511.78x = 335,514.98
  5. Step 5: Solve for x
    x = 335,514.98/511.78
  6. Step 6: Final answer
    x = 655.58

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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.