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Finding the Fourth Proportional to 511.62, 766.42 and 451.48

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Solution

The fourth proportional to 511.62, 766.42 and 451.48 is: 676.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.62 : 766.42 = 451.48 : x
  2. Step 2: Convert to fraction form
    511.62/766.42 = 451.48/x
  3. Step 3: Cross multiply
    511.62x = 766.42 × 451.48
  4. Step 4: Simplify right side
    511.62x = 346,020.26
  5. Step 5: Solve for x
    x = 346,020.26/511.62
  6. Step 6: Final answer
    x = 676.32

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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.