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Finding the Fourth Proportional to 574.43, 855.92 and 513.08

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Solution

The fourth proportional to 574.43, 855.92 and 513.08 is: 764.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.43 : 855.92 = 513.08 : x
  2. Step 2: Convert to fraction form
    574.43/855.92 = 513.08/x
  3. Step 3: Cross multiply
    574.43x = 855.92 × 513.08
  4. Step 4: Simplify right side
    574.43x = 439,157.57
  5. Step 5: Solve for x
    x = 439,157.57/574.43
  6. Step 6: Final answer
    x = 764.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.