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Finding the Fourth Proportional to 1,100.72, 1,651.09 and 278.99

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Solution

The fourth proportional to 1,100.72, 1,651.09 and 278.99 is: 418.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100.72 : 1,651.09 = 278.99 : x
  2. Step 2: Convert to fraction form
    1,100.72/1,651.09 = 278.99/x
  3. Step 3: Cross multiply
    1,100.72x = 1,651.09 × 278.99
  4. Step 4: Simplify right side
    1,100.72x = 460,641.03
  5. Step 5: Solve for x
    x = 460,641.03/1,100.72
  6. Step 6: Final answer
    x = 418.49

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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.