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Finding the Fourth Proportional to 1,257.24, 1,735.68 and 859.50

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Solution

The fourth proportional to 1,257.24, 1,735.68 and 859.50 is: 1,186.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257.24 : 1,735.68 = 859.50 : x
  2. Step 2: Convert to fraction form
    1,257.24/1,735.68 = 859.50/x
  3. Step 3: Cross multiply
    1,257.24x = 1,735.68 × 859.50
  4. Step 4: Simplify right side
    1,257.24x = 1,491,826.69
  5. Step 5: Solve for x
    x = 1,491,826.69/1,257.24
  6. Step 6: Final answer
    x = 1,186.59

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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.