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Finding the Fourth Proportional to 773.46, 1,161.39 and 591.54

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Solution

The fourth proportional to 773.46, 1,161.39 and 591.54 is: 888.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.46 : 1,161.39 = 591.54 : x
  2. Step 2: Convert to fraction form
    773.46/1,161.39 = 591.54/x
  3. Step 3: Cross multiply
    773.46x = 1,161.39 × 591.54
  4. Step 4: Simplify right side
    773.46x = 687,008.64
  5. Step 5: Solve for x
    x = 687,008.64/773.46
  6. Step 6: Final answer
    x = 888.23

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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.