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Finding the Fourth Proportional to 863.48, 1,192.81 and 770.19

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Solution

The fourth proportional to 863.48, 1,192.81 and 770.19 is: 1,063.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.48 : 1,192.81 = 770.19 : x
  2. Step 2: Convert to fraction form
    863.48/1,192.81 = 770.19/x
  3. Step 3: Cross multiply
    863.48x = 1,192.81 × 770.19
  4. Step 4: Simplify right side
    863.48x = 918,692.09
  5. Step 5: Solve for x
    x = 918,692.09/863.48
  6. Step 6: Final answer
    x = 1,063.95

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Double scale
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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.