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Finding the Fourth Proportional to 511.23, 767.70 and 429.78

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Solution

The fourth proportional to 511.23, 767.70 and 429.78 is: 645.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.23 : 767.70 = 429.78 : x
  2. Step 2: Convert to fraction form
    511.23/767.70 = 429.78/x
  3. Step 3: Cross multiply
    511.23x = 767.70 × 429.78
  4. Step 4: Simplify right side
    511.23x = 329,942.11
  5. Step 5: Solve for x
    x = 329,942.11/511.23
  6. Step 6: Final answer
    x = 645.39

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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.