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Finding the Fourth Proportional to 1,240.35, 1,860.96 and 825.55

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Solution

The fourth proportional to 1,240.35, 1,860.96 and 825.55 is: 1,238.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,240.35 : 1,860.96 = 825.55 : x
  2. Step 2: Convert to fraction form
    1,240.35/1,860.96 = 825.55/x
  3. Step 3: Cross multiply
    1,240.35x = 1,860.96 × 825.55
  4. Step 4: Simplify right side
    1,240.35x = 1,536,318.04
  5. Step 5: Solve for x
    x = 1,536,318.04/1,240.35
  6. Step 6: Final answer
    x = 1,238.61

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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.