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Finding the Fourth Proportional to 1,089, 1,633.52 and 267.27

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Solution

The fourth proportional to 1,089, 1,633.52 and 267.27 is: 400.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089 : 1,633.52 = 267.27 : x
  2. Step 2: Convert to fraction form
    1,089/1,633.52 = 267.27/x
  3. Step 3: Cross multiply
    1,089x = 1,633.52 × 267.27
  4. Step 4: Simplify right side
    1,089x = 436,589.55
  5. Step 5: Solve for x
    x = 436,589.55/1,089
  6. Step 6: Final answer
    x = 400.91

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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.