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Finding the Fourth Proportional to 767.91, 1,059.72 and 418.61

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Solution

The fourth proportional to 767.91, 1,059.72 and 418.61 is: 577.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.91 : 1,059.72 = 418.61 : x
  2. Step 2: Convert to fraction form
    767.91/1,059.72 = 418.61/x
  3. Step 3: Cross multiply
    767.91x = 1,059.72 × 418.61
  4. Step 4: Simplify right side
    767.91x = 443,604.09
  5. Step 5: Solve for x
    x = 443,604.09/767.91
  6. Step 6: Final answer
    x = 577.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.