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Finding the Fourth Proportional to 773.54, 1,157.41 and 542.89

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Solution

The fourth proportional to 773.54, 1,157.41 and 542.89 is: 812.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.54 : 1,157.41 = 542.89 : x
  2. Step 2: Convert to fraction form
    773.54/1,157.41 = 542.89/x
  3. Step 3: Cross multiply
    773.54x = 1,157.41 × 542.89
  4. Step 4: Simplify right side
    773.54x = 628,338.88
  5. Step 5: Solve for x
    x = 628,338.88/773.54
  6. Step 6: Final answer
    x = 812.29

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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.