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Finding the Fourth Proportional to 686, 1,027.86 and 454.58

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Solution

The fourth proportional to 686, 1,027.86 and 454.58 is: 681.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    686 : 1,027.86 = 454.58 : x
  2. Step 2: Convert to fraction form
    686/1,027.86 = 454.58/x
  3. Step 3: Cross multiply
    686x = 1,027.86 × 454.58
  4. Step 4: Simplify right side
    686x = 467,244.60
  5. Step 5: Solve for x
    x = 467,244.60/686
  6. Step 6: Final answer
    x = 681.11

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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.