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Finding the Fourth Proportional to 558.26, 769.83 and 371.78

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Solution

The fourth proportional to 558.26, 769.83 and 371.78 is: 512.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.26 : 769.83 = 371.78 : x
  2. Step 2: Convert to fraction form
    558.26/769.83 = 371.78/x
  3. Step 3: Cross multiply
    558.26x = 769.83 × 371.78
  4. Step 4: Simplify right side
    558.26x = 286,207.40
  5. Step 5: Solve for x
    x = 286,207.40/558.26
  6. Step 6: Final answer
    x = 512.68

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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.