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Finding the Fourth Proportional to 774.13, 1,160.48 and 408.61

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Solution

The fourth proportional to 774.13, 1,160.48 and 408.61 is: 612.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.13 : 1,160.48 = 408.61 : x
  2. Step 2: Convert to fraction form
    774.13/1,160.48 = 408.61/x
  3. Step 3: Cross multiply
    774.13x = 1,160.48 × 408.61
  4. Step 4: Simplify right side
    774.13x = 474,181.69
  5. Step 5: Solve for x
    x = 474,181.69/774.13
  6. Step 6: Final answer
    x = 612.53

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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.