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Finding the Fourth Proportional to 686.25, 1,028.97 and 295.98

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Solution

The fourth proportional to 686.25, 1,028.97 and 295.98 is: 443.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.25 : 1,028.97 = 295.98 : x
  2. Step 2: Convert to fraction form
    686.25/1,028.97 = 295.98/x
  3. Step 3: Cross multiply
    686.25x = 1,028.97 × 295.98
  4. Step 4: Simplify right side
    686.25x = 304,554.54
  5. Step 5: Solve for x
    x = 304,554.54/686.25
  6. Step 6: Final answer
    x = 443.80

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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.