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Finding the Fourth Proportional to 773.01, 1,157.79 and 685.46

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Solution

The fourth proportional to 773.01, 1,157.79 and 685.46 is: 1,026.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.01 : 1,157.79 = 685.46 : x
  2. Step 2: Convert to fraction form
    773.01/1,157.79 = 685.46/x
  3. Step 3: Cross multiply
    773.01x = 1,157.79 × 685.46
  4. Step 4: Simplify right side
    773.01x = 793,618.73
  5. Step 5: Solve for x
    x = 793,618.73/773.01
  6. Step 6: Final answer
    x = 1,026.66

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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.