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Finding the Fourth Proportional to 570.56, 855.36 and 387.44

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Solution

The fourth proportional to 570.56, 855.36 and 387.44 is: 580.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.56 : 855.36 = 387.44 : x
  2. Step 2: Convert to fraction form
    570.56/855.36 = 387.44/x
  3. Step 3: Cross multiply
    570.56x = 855.36 × 387.44
  4. Step 4: Simplify right side
    570.56x = 331,400.68
  5. Step 5: Solve for x
    x = 331,400.68/570.56
  6. Step 6: Final answer
    x = 580.83

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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.