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Finding the Fourth Proportional to 2,246.25, 3,369.50 and 686.36

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Solution

The fourth proportional to 2,246.25, 3,369.50 and 686.36 is: 1,029.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,246.25 : 3,369.50 = 686.36 : x
  2. Step 2: Convert to fraction form
    2,246.25/3,369.50 = 686.36/x
  3. Step 3: Cross multiply
    2,246.25x = 3,369.50 × 686.36
  4. Step 4: Simplify right side
    2,246.25x = 2,312,690.02
  5. Step 5: Solve for x
    x = 2,312,690.02/2,246.25
  6. Step 6: Final answer
    x = 1,029.58

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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.