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Finding the Fourth Proportional to 557.33, 834.57 and 540.90

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Solution

The fourth proportional to 557.33, 834.57 and 540.90 is: 809.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.33 : 834.57 = 540.90 : x
  2. Step 2: Convert to fraction form
    557.33/834.57 = 540.90/x
  3. Step 3: Cross multiply
    557.33x = 834.57 × 540.90
  4. Step 4: Simplify right side
    557.33x = 451,418.91
  5. Step 5: Solve for x
    x = 451,418.91/557.33
  6. Step 6: Final answer
    x = 809.97

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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.