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Finding the Fourth Proportional to 860.39, 1,291.66 and 856.44

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Solution

The fourth proportional to 860.39, 1,291.66 and 856.44 is: 1,285.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.39 : 1,291.66 = 856.44 : x
  2. Step 2: Convert to fraction form
    860.39/1,291.66 = 856.44/x
  3. Step 3: Cross multiply
    860.39x = 1,291.66 × 856.44
  4. Step 4: Simplify right side
    860.39x = 1,106,229.29
  5. Step 5: Solve for x
    x = 1,106,229.29/860.39
  6. Step 6: Final answer
    x = 1,285.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.