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Finding the Fourth Proportional to 574.70, 857.27 and 519.34

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Solution

The fourth proportional to 574.70, 857.27 and 519.34 is: 774.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.70 : 857.27 = 519.34 : x
  2. Step 2: Convert to fraction form
    574.70/857.27 = 519.34/x
  3. Step 3: Cross multiply
    574.70x = 857.27 × 519.34
  4. Step 4: Simplify right side
    574.70x = 445,214.60
  5. Step 5: Solve for x
    x = 445,214.60/574.70
  6. Step 6: Final answer
    x = 774.69

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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.