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Finding the Fourth Proportional to 860.82, 1,295.88 and 741.78

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Solution

The fourth proportional to 860.82, 1,295.88 and 741.78 is: 1,116.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.82 : 1,295.88 = 741.78 : x
  2. Step 2: Convert to fraction form
    860.82/1,295.88 = 741.78/x
  3. Step 3: Cross multiply
    860.82x = 1,295.88 × 741.78
  4. Step 4: Simplify right side
    860.82x = 961,257.87
  5. Step 5: Solve for x
    x = 961,257.87/860.82
  6. Step 6: Final answer
    x = 1,116.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.