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Finding the Fourth Proportional to 771.28, 1,063.56 and 661.12

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Solution

The fourth proportional to 771.28, 1,063.56 and 661.12 is: 911.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.28 : 1,063.56 = 661.12 : x
  2. Step 2: Convert to fraction form
    771.28/1,063.56 = 661.12/x
  3. Step 3: Cross multiply
    771.28x = 1,063.56 × 661.12
  4. Step 4: Simplify right side
    771.28x = 703,140.79
  5. Step 5: Solve for x
    x = 703,140.79/771.28
  6. Step 6: Final answer
    x = 911.65

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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.