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Finding the Fourth Proportional to 1,235.99, 1,852.23 and 1,089.43

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Solution

The fourth proportional to 1,235.99, 1,852.23 and 1,089.43 is: 1,632.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,235.99 : 1,852.23 = 1,089.43 : x
  2. Step 2: Convert to fraction form
    1,235.99/1,852.23 = 1,089.43/x
  3. Step 3: Cross multiply
    1,235.99x = 1,852.23 × 1,089.43
  4. Step 4: Simplify right side
    1,235.99x = 2,017,874.38
  5. Step 5: Solve for x
    x = 2,017,874.38/1,235.99
  6. Step 6: Final answer
    x = 1,632.59

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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.