Home / 1,192.06-1,787.52-704.98

Finding the Fourth Proportional to 1,192.06, 1,787.52 and 704.98

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Solution

The fourth proportional to 1,192.06, 1,787.52 and 704.98 is: 1,057.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.06 : 1,787.52 = 704.98 : x
  2. Step 2: Convert to fraction form
    1,192.06/1,787.52 = 704.98/x
  3. Step 3: Cross multiply
    1,192.06x = 1,787.52 × 704.98
  4. Step 4: Simplify right side
    1,192.06x = 1,260,165.85
  5. Step 5: Solve for x
    x = 1,260,165.85/1,192.06
  6. Step 6: Final answer
    x = 1,057.13

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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.