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Finding the Fourth Proportional to 1,027.80, 1,544.01 and 889.47

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Solution

The fourth proportional to 1,027.80, 1,544.01 and 889.47 is: 1,336.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.80 : 1,544.01 = 889.47 : x
  2. Step 2: Convert to fraction form
    1,027.80/1,544.01 = 889.47/x
  3. Step 3: Cross multiply
    1,027.80x = 1,544.01 × 889.47
  4. Step 4: Simplify right side
    1,027.80x = 1,373,350.57
  5. Step 5: Solve for x
    x = 1,373,350.57/1,027.80
  6. Step 6: Final answer
    x = 1,336.20

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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.