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Finding the Fourth Proportional to 911.13, 1,363.14 and 777.68

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Solution

The fourth proportional to 911.13, 1,363.14 and 777.68 is: 1,163.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.13 : 1,363.14 = 777.68 : x
  2. Step 2: Convert to fraction form
    911.13/1,363.14 = 777.68/x
  3. Step 3: Cross multiply
    911.13x = 1,363.14 × 777.68
  4. Step 4: Simplify right side
    911.13x = 1,060,086.72
  5. Step 5: Solve for x
    x = 1,060,086.72/911.13
  6. Step 6: Final answer
    x = 1,163.49

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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.