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Finding the Fourth Proportional to 1,238.55, 1,708.47 and 859.85

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Solution

The fourth proportional to 1,238.55, 1,708.47 and 859.85 is: 1,186.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238.55 : 1,708.47 = 859.85 : x
  2. Step 2: Convert to fraction form
    1,238.55/1,708.47 = 859.85/x
  3. Step 3: Cross multiply
    1,238.55x = 1,708.47 × 859.85
  4. Step 4: Simplify right side
    1,238.55x = 1,469,027.93
  5. Step 5: Solve for x
    x = 1,469,027.93/1,238.55
  6. Step 6: Final answer
    x = 1,186.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.