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Finding the Fourth Proportional to 2,246.88, 3,370.50 and 686.73

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Solution

The fourth proportional to 2,246.88, 3,370.50 and 686.73 is: 1,030.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,246.88 : 3,370.50 = 686.73 : x
  2. Step 2: Convert to fraction form
    2,246.88/3,370.50 = 686.73/x
  3. Step 3: Cross multiply
    2,246.88x = 3,370.50 × 686.73
  4. Step 4: Simplify right side
    2,246.88x = 2,314,623.47
  5. Step 5: Solve for x
    x = 2,314,623.47/2,246.88
  6. Step 6: Final answer
    x = 1,030.15

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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.