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Finding the Fourth Proportional to 557.80, 834.76 and 338.31

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Solution

The fourth proportional to 557.80, 834.76 and 338.31 is: 506.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.80 : 834.76 = 338.31 : x
  2. Step 2: Convert to fraction form
    557.80/834.76 = 338.31/x
  3. Step 3: Cross multiply
    557.80x = 834.76 × 338.31
  4. Step 4: Simplify right side
    557.80x = 282,408.08
  5. Step 5: Solve for x
    x = 282,408.08/557.80
  6. Step 6: Final answer
    x = 506.29

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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.