Home / 1,388.03-2,082.39-414.14

Finding the Fourth Proportional to 1,388.03, 2,082.39 and 414.14

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Solution

The fourth proportional to 1,388.03, 2,082.39 and 414.14 is: 621.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,388.03 : 2,082.39 = 414.14 : x
  2. Step 2: Convert to fraction form
    1,388.03/2,082.39 = 414.14/x
  3. Step 3: Cross multiply
    1,388.03x = 2,082.39 × 414.14
  4. Step 4: Simplify right side
    1,388.03x = 862,390.58
  5. Step 5: Solve for x
    x = 862,390.58/1,388.03
  6. Step 6: Final answer
    x = 621.31

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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.