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Finding the Fourth Proportional to 571.42, 855.31 and 449.92

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Solution

The fourth proportional to 571.42, 855.31 and 449.92 is: 673.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.42 : 855.31 = 449.92 : x
  2. Step 2: Convert to fraction form
    571.42/855.31 = 449.92/x
  3. Step 3: Cross multiply
    571.42x = 855.31 × 449.92
  4. Step 4: Simplify right side
    571.42x = 384,821.86
  5. Step 5: Solve for x
    x = 384,821.86/571.42
  6. Step 6: Final answer
    x = 673.45

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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.