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Finding the Fourth Proportional to 2,246.58, 3,370.42 and 686.61

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Solution

The fourth proportional to 2,246.58, 3,370.42 and 686.61 is: 1,030.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,246.58 : 3,370.42 = 686.61 : x
  2. Step 2: Convert to fraction form
    2,246.58/3,370.42 = 686.61/x
  3. Step 3: Cross multiply
    2,246.58x = 3,370.42 × 686.61
  4. Step 4: Simplify right side
    2,246.58x = 2,314,148.43
  5. Step 5: Solve for x
    x = 2,314,148.43/2,246.58
  6. Step 6: Final answer
    x = 1,030.08

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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.