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Finding the Fourth Proportional to 1,178.24, 1,767.42 and 1,089

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Solution

The fourth proportional to 1,178.24, 1,767.42 and 1,089 is: 1,633.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178.24 : 1,767.42 = 1,089 : x
  2. Step 2: Convert to fraction form
    1,178.24/1,767.42 = 1,089/x
  3. Step 3: Cross multiply
    1,178.24x = 1,767.42 × 1,089
  4. Step 4: Simplify right side
    1,178.24x = 1,924,720.38
  5. Step 5: Solve for x
    x = 1,924,720.38/1,178.24
  6. Step 6: Final answer
    x = 1,633.56

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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.