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Finding the Fourth Proportional to 773.48, 1,161.30 and 675.80

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Solution

The fourth proportional to 773.48, 1,161.30 and 675.80 is: 1,014.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.48 : 1,161.30 = 675.80 : x
  2. Step 2: Convert to fraction form
    773.48/1,161.30 = 675.80/x
  3. Step 3: Cross multiply
    773.48x = 1,161.30 × 675.80
  4. Step 4: Simplify right side
    773.48x = 784,806.54
  5. Step 5: Solve for x
    x = 784,806.54/773.48
  6. Step 6: Final answer
    x = 1,014.64

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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.