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Finding the Fourth Proportional to 1,083.12, 1,622.24 and 759.93

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Solution

The fourth proportional to 1,083.12, 1,622.24 and 759.93 is: 1,138.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,083.12 : 1,622.24 = 759.93 : x
  2. Step 2: Convert to fraction form
    1,083.12/1,622.24 = 759.93/x
  3. Step 3: Cross multiply
    1,083.12x = 1,622.24 × 759.93
  4. Step 4: Simplify right side
    1,083.12x = 1,232,788.84
  5. Step 5: Solve for x
    x = 1,232,788.84/1,083.12
  6. Step 6: Final answer
    x = 1,138.18

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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.