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Finding the Fourth Proportional to 511.20, 766.80 and 477.79

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Solution

The fourth proportional to 511.20, 766.80 and 477.79 is: 716.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.20 : 766.80 = 477.79 : x
  2. Step 2: Convert to fraction form
    511.20/766.80 = 477.79/x
  3. Step 3: Cross multiply
    511.20x = 766.80 × 477.79
  4. Step 4: Simplify right side
    511.20x = 366,367.46
  5. Step 5: Solve for x
    x = 366,367.46/511.20
  6. Step 6: Final answer
    x = 716.68

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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.