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Finding the Fourth Proportional to 686.70, 1,028.99 and 442.73

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Solution

The fourth proportional to 686.70, 1,028.99 and 442.73 is: 663.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.70 : 1,028.99 = 442.73 : x
  2. Step 2: Convert to fraction form
    686.70/1,028.99 = 442.73/x
  3. Step 3: Cross multiply
    686.70x = 1,028.99 × 442.73
  4. Step 4: Simplify right side
    686.70x = 455,568.42
  5. Step 5: Solve for x
    x = 455,568.42/686.70
  6. Step 6: Final answer
    x = 663.42

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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.