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Finding the Fourth Proportional to 860.87, 1,187.78 and 581.24

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Solution

The fourth proportional to 860.87, 1,187.78 and 581.24 is: 801.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.87 : 1,187.78 = 581.24 : x
  2. Step 2: Convert to fraction form
    860.87/1,187.78 = 581.24/x
  3. Step 3: Cross multiply
    860.87x = 1,187.78 × 581.24
  4. Step 4: Simplify right side
    860.87x = 690,376.40
  5. Step 5: Solve for x
    x = 690,376.40/860.87
  6. Step 6: Final answer
    x = 801.96

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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.