Home / 1,199.12-1,799.80-614.56

Finding the Fourth Proportional to 1,199.12, 1,799.80 and 614.56

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Solution

The fourth proportional to 1,199.12, 1,799.80 and 614.56 is: 922.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199.12 : 1,799.80 = 614.56 : x
  2. Step 2: Convert to fraction form
    1,199.12/1,799.80 = 614.56/x
  3. Step 3: Cross multiply
    1,199.12x = 1,799.80 × 614.56
  4. Step 4: Simplify right side
    1,199.12x = 1,106,085.09
  5. Step 5: Solve for x
    x = 1,106,085.09/1,199.12
  6. Step 6: Final answer
    x = 922.41

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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.