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Finding the Fourth Proportional to 1,026.22, 1,535.68 and 748.90

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Solution

The fourth proportional to 1,026.22, 1,535.68 and 748.90 is: 1,120.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.22 : 1,535.68 = 748.90 : x
  2. Step 2: Convert to fraction form
    1,026.22/1,535.68 = 748.90/x
  3. Step 3: Cross multiply
    1,026.22x = 1,535.68 × 748.90
  4. Step 4: Simplify right side
    1,026.22x = 1,150,067.08
  5. Step 5: Solve for x
    x = 1,150,067.08/1,026.22
  6. Step 6: Final answer
    x = 1,120.68

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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.