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Finding the Fourth Proportional to 557.94, 769.84 and 361.42

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Solution

The fourth proportional to 557.94, 769.84 and 361.42 is: 498.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.94 : 769.84 = 361.42 : x
  2. Step 2: Convert to fraction form
    557.94/769.84 = 361.42/x
  3. Step 3: Cross multiply
    557.94x = 769.84 × 361.42
  4. Step 4: Simplify right side
    557.94x = 278,235.57
  5. Step 5: Solve for x
    x = 278,235.57/557.94
  6. Step 6: Final answer
    x = 498.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.