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Finding the Fourth Proportional to 771.85, 1,158.55 and 361.28

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Solution

The fourth proportional to 771.85, 1,158.55 and 361.28 is: 542.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.85 : 1,158.55 = 361.28 : x
  2. Step 2: Convert to fraction form
    771.85/1,158.55 = 361.28/x
  3. Step 3: Cross multiply
    771.85x = 1,158.55 × 361.28
  4. Step 4: Simplify right side
    771.85x = 418,562.94
  5. Step 5: Solve for x
    x = 418,562.94/771.85
  6. Step 6: Final answer
    x = 542.28

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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.