Home / 1,103.24-1,654.43-400.28

Finding the Fourth Proportional to 1,103.24, 1,654.43 and 400.28

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Solution

The fourth proportional to 1,103.24, 1,654.43 and 400.28 is: 600.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.24 : 1,654.43 = 400.28 : x
  2. Step 2: Convert to fraction form
    1,103.24/1,654.43 = 400.28/x
  3. Step 3: Cross multiply
    1,103.24x = 1,654.43 × 400.28
  4. Step 4: Simplify right side
    1,103.24x = 662,238.38
  5. Step 5: Solve for x
    x = 662,238.38/1,103.24
  6. Step 6: Final answer
    x = 600.27

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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.