Home / 1,388.27-2,082.25-414.30

Finding the Fourth Proportional to 1,388.27, 2,082.25 and 414.30

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Solution

The fourth proportional to 1,388.27, 2,082.25 and 414.30 is: 621.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,388.27 : 2,082.25 = 414.30 : x
  2. Step 2: Convert to fraction form
    1,388.27/2,082.25 = 414.30/x
  3. Step 3: Cross multiply
    1,388.27x = 2,082.25 × 414.30
  4. Step 4: Simplify right side
    1,388.27x = 862,676.18
  5. Step 5: Solve for x
    x = 862,676.18/1,388.27
  6. Step 6: Final answer
    x = 621.40

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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.