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Finding the Fourth Proportional to 570.85, 855.80 and 241.78

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Solution

The fourth proportional to 570.85, 855.80 and 241.78 is: 362.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.85 : 855.80 = 241.78 : x
  2. Step 2: Convert to fraction form
    570.85/855.80 = 241.78/x
  3. Step 3: Cross multiply
    570.85x = 855.80 × 241.78
  4. Step 4: Simplify right side
    570.85x = 206,911.98
  5. Step 5: Solve for x
    x = 206,911.98/570.85
  6. Step 6: Final answer
    x = 362.46

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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.