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Finding the Fourth Proportional to 570.29, 854.90 and 223.85

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Solution

The fourth proportional to 570.29, 854.90 and 223.85 is: 335.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.29 : 854.90 = 223.85 : x
  2. Step 2: Convert to fraction form
    570.29/854.90 = 223.85/x
  3. Step 3: Cross multiply
    570.29x = 854.90 × 223.85
  4. Step 4: Simplify right side
    570.29x = 191,363.97
  5. Step 5: Solve for x
    x = 191,363.97/570.29
  6. Step 6: Final answer
    x = 335.56

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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.