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Finding the Fourth Proportional to 511.48, 766.40 and 408.22

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Solution

The fourth proportional to 511.48, 766.40 and 408.22 is: 611.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.48 : 766.40 = 408.22 : x
  2. Step 2: Convert to fraction form
    511.48/766.40 = 408.22/x
  3. Step 3: Cross multiply
    511.48x = 766.40 × 408.22
  4. Step 4: Simplify right side
    511.48x = 312,859.81
  5. Step 5: Solve for x
    x = 312,859.81/511.48
  6. Step 6: Final answer
    x = 611.68

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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.