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Finding the Fourth Proportional to 2,246.95, 3,369.57 and 686.47

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Solution

The fourth proportional to 2,246.95, 3,369.57 and 686.47 is: 1,029.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,246.95 : 3,369.57 = 686.47 : x
  2. Step 2: Convert to fraction form
    2,246.95/3,369.57 = 686.47/x
  3. Step 3: Cross multiply
    2,246.95x = 3,369.57 × 686.47
  4. Step 4: Simplify right side
    2,246.95x = 2,313,108.72
  5. Step 5: Solve for x
    x = 2,313,108.72/2,246.95
  6. Step 6: Final answer
    x = 1,029.44

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1.5x scale

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.