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Finding the Fourth Proportional to 773.62, 1,157.92 and 568.14

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Solution

The fourth proportional to 773.62, 1,157.92 and 568.14 is: 850.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.62 : 1,157.92 = 568.14 : x
  2. Step 2: Convert to fraction form
    773.62/1,157.92 = 568.14/x
  3. Step 3: Cross multiply
    773.62x = 1,157.92 × 568.14
  4. Step 4: Simplify right side
    773.62x = 657,864.27
  5. Step 5: Solve for x
    x = 657,864.27/773.62
  6. Step 6: Final answer
    x = 850.37

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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.