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Finding the Fourth Proportional to 686.07, 1,028.91 and 269.53

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Solution

The fourth proportional to 686.07, 1,028.91 and 269.53 is: 404.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.07 : 1,028.91 = 269.53 : x
  2. Step 2: Convert to fraction form
    686.07/1,028.91 = 269.53/x
  3. Step 3: Cross multiply
    686.07x = 1,028.91 × 269.53
  4. Step 4: Simplify right side
    686.07x = 277,322.11
  5. Step 5: Solve for x
    x = 277,322.11/686.07
  6. Step 6: Final answer
    x = 404.22

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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.