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Finding the Fourth Proportional to 773.45, 1,160.61 and 408.34

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Solution

The fourth proportional to 773.45, 1,160.61 and 408.34 is: 612.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.45 : 1,160.61 = 408.34 : x
  2. Step 2: Convert to fraction form
    773.45/1,160.61 = 408.34/x
  3. Step 3: Cross multiply
    773.45x = 1,160.61 × 408.34
  4. Step 4: Simplify right side
    773.45x = 473,923.49
  5. Step 5: Solve for x
    x = 473,923.49/773.45
  6. Step 6: Final answer
    x = 612.74

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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.