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Finding the Fourth Proportional to 1,236.58, 1,706.41 and 677

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Solution

The fourth proportional to 1,236.58, 1,706.41 and 677 is: 934.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,236.58 : 1,706.41 = 677 : x
  2. Step 2: Convert to fraction form
    1,236.58/1,706.41 = 677/x
  3. Step 3: Cross multiply
    1,236.58x = 1,706.41 × 677
  4. Step 4: Simplify right side
    1,236.58x = 1,155,239.57
  5. Step 5: Solve for x
    x = 1,155,239.57/1,236.58
  6. Step 6: Final answer
    x = 934.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.