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Finding the Fourth Proportional to 2,246.69, 3,369.95 and 686.63

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Solution

The fourth proportional to 2,246.69, 3,369.95 and 686.63 is: 1,029.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,246.69 : 3,369.95 = 686.63 : x
  2. Step 2: Convert to fraction form
    2,246.69/3,369.95 = 686.63/x
  3. Step 3: Cross multiply
    2,246.69x = 3,369.95 × 686.63
  4. Step 4: Simplify right side
    2,246.69x = 2,313,908.77
  5. Step 5: Solve for x
    x = 2,313,908.77/2,246.69
  6. Step 6: Final answer
    x = 1,029.92

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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.