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Finding the Fourth Proportional to 773, 1,162.20 and 408.52

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Solution

The fourth proportional to 773, 1,162.20 and 408.52 is: 614.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    773 : 1,162.20 = 408.52 : x
  2. Step 2: Convert to fraction form
    773/1,162.20 = 408.52/x
  3. Step 3: Cross multiply
    773x = 1,162.20 × 408.52
  4. Step 4: Simplify right side
    773x = 474,781.94
  5. Step 5: Solve for x
    x = 474,781.94/773
  6. Step 6: Final answer
    x = 614.21

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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.