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Finding the Fourth Proportional to 570.86, 856.70 and 441.18

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Solution

The fourth proportional to 570.86, 856.70 and 441.18 is: 662.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.86 : 856.70 = 441.18 : x
  2. Step 2: Convert to fraction form
    570.86/856.70 = 441.18/x
  3. Step 3: Cross multiply
    570.86x = 856.70 × 441.18
  4. Step 4: Simplify right side
    570.86x = 377,956.70
  5. Step 5: Solve for x
    x = 377,956.70/570.86
  6. Step 6: Final answer
    x = 662.09

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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.