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Finding the Fourth Proportional to 686, 1,027.97 and 411.79

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Solution

The fourth proportional to 686, 1,027.97 and 411.79 is: 617.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    686 : 1,027.97 = 411.79 : x
  2. Step 2: Convert to fraction form
    686/1,027.97 = 411.79/x
  3. Step 3: Cross multiply
    686x = 1,027.97 × 411.79
  4. Step 4: Simplify right side
    686x = 423,307.77
  5. Step 5: Solve for x
    x = 423,307.77/686
  6. Step 6: Final answer
    x = 617.07

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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.