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Finding the Fourth Proportional to 776.74, 1,161.46 and 656.46

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Solution

The fourth proportional to 776.74, 1,161.46 and 656.46 is: 981.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.74 : 1,161.46 = 656.46 : x
  2. Step 2: Convert to fraction form
    776.74/1,161.46 = 656.46/x
  3. Step 3: Cross multiply
    776.74x = 1,161.46 × 656.46
  4. Step 4: Simplify right side
    776.74x = 762,452.03
  5. Step 5: Solve for x
    x = 762,452.03/776.74
  6. Step 6: Final answer
    x = 981.61

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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.