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Finding the Fourth Proportional to 860.59, 1,185.37 and 611.45

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Solution

The fourth proportional to 860.59, 1,185.37 and 611.45 is: 842.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.59 : 1,185.37 = 611.45 : x
  2. Step 2: Convert to fraction form
    860.59/1,185.37 = 611.45/x
  3. Step 3: Cross multiply
    860.59x = 1,185.37 × 611.45
  4. Step 4: Simplify right side
    860.59x = 724,791.48
  5. Step 5: Solve for x
    x = 724,791.48/860.59
  6. Step 6: Final answer
    x = 842.20

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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.