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Finding the Fourth Proportional to 1,089.19, 1,633.77 and 267.46

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Solution

The fourth proportional to 1,089.19, 1,633.77 and 267.46 is: 401.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.19 : 1,633.77 = 267.46 : x
  2. Step 2: Convert to fraction form
    1,089.19/1,633.77 = 267.46/x
  3. Step 3: Cross multiply
    1,089.19x = 1,633.77 × 267.46
  4. Step 4: Simplify right side
    1,089.19x = 436,968.12
  5. Step 5: Solve for x
    x = 436,968.12/1,089.19
  6. Step 6: Final answer
    x = 401.19

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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.