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Finding the Fourth Proportional to 773.77, 1,157.78 and 680.78

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Solution

The fourth proportional to 773.77, 1,157.78 and 680.78 is: 1,018.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.77 : 1,157.78 = 680.78 : x
  2. Step 2: Convert to fraction form
    773.77/1,157.78 = 680.78/x
  3. Step 3: Cross multiply
    773.77x = 1,157.78 × 680.78
  4. Step 4: Simplify right side
    773.77x = 788,193.85
  5. Step 5: Solve for x
    x = 788,193.85/773.77
  6. Step 6: Final answer
    x = 1,018.65

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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.