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Finding the Fourth Proportional to 773.77, 1,160.77 and 280.22

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Solution

The fourth proportional to 773.77, 1,160.77 and 280.22 is: 420.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.77 : 1,160.77 = 280.22 : x
  2. Step 2: Convert to fraction form
    773.77/1,160.77 = 280.22/x
  3. Step 3: Cross multiply
    773.77x = 1,160.77 × 280.22
  4. Step 4: Simplify right side
    773.77x = 325,266.08
  5. Step 5: Solve for x
    x = 325,266.08/773.77
  6. Step 6: Final answer
    x = 420.36

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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.