Home / 1,202.30-1,799.40-1,105.10

Finding the Fourth Proportional to 1,202.30, 1,799.40 and 1,105.10

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Solution

The fourth proportional to 1,202.30, 1,799.40 and 1,105.10 is: 1,653.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.30 : 1,799.40 = 1,105.10 : x
  2. Step 2: Convert to fraction form
    1,202.30/1,799.40 = 1,105.10/x
  3. Step 3: Cross multiply
    1,202.30x = 1,799.40 × 1,105.10
  4. Step 4: Simplify right side
    1,202.30x = 1,988,516.94
  5. Step 5: Solve for x
    x = 1,988,516.94/1,202.30
  6. Step 6: Final answer
    x = 1,653.93

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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.