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Finding the Fourth Proportional to 511.96, 767.73 and 280.79

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Solution

The fourth proportional to 511.96, 767.73 and 280.79 is: 421.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.96 : 767.73 = 280.79 : x
  2. Step 2: Convert to fraction form
    511.96/767.73 = 280.79/x
  3. Step 3: Cross multiply
    511.96x = 767.73 × 280.79
  4. Step 4: Simplify right side
    511.96x = 215,566.02
  5. Step 5: Solve for x
    x = 215,566.02/511.96
  6. Step 6: Final answer
    x = 421.06

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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.