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Finding the Fourth Proportional to 1,236.65, 1,706.56 and 677.12

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Solution

The fourth proportional to 1,236.65, 1,706.56 and 677.12 is: 934.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,236.65 : 1,706.56 = 677.12 : x
  2. Step 2: Convert to fraction form
    1,236.65/1,706.56 = 677.12/x
  3. Step 3: Cross multiply
    1,236.65x = 1,706.56 × 677.12
  4. Step 4: Simplify right side
    1,236.65x = 1,155,537.37
  5. Step 5: Solve for x
    x = 1,155,537.37/1,236.65
  6. Step 6: Final answer
    x = 934.41

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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.