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Finding the Fourth Proportional to 1,236.08, 1,855.76 and 716.56

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Solution

The fourth proportional to 1,236.08, 1,855.76 and 716.56 is: 1,075.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,236.08 : 1,855.76 = 716.56 : x
  2. Step 2: Convert to fraction form
    1,236.08/1,855.76 = 716.56/x
  3. Step 3: Cross multiply
    1,236.08x = 1,855.76 × 716.56
  4. Step 4: Simplify right side
    1,236.08x = 1,329,763.39
  5. Step 5: Solve for x
    x = 1,329,763.39/1,236.08
  6. Step 6: Final answer
    x = 1,075.79

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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.