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Finding the Fourth Proportional to 574.74, 857.76 and 519.38

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Solution

The fourth proportional to 574.74, 857.76 and 519.38 is: 775.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.74 : 857.76 = 519.38 : x
  2. Step 2: Convert to fraction form
    574.74/857.76 = 519.38/x
  3. Step 3: Cross multiply
    574.74x = 857.76 × 519.38
  4. Step 4: Simplify right side
    574.74x = 445,503.39
  5. Step 5: Solve for x
    x = 445,503.39/574.74
  6. Step 6: Final answer
    x = 775.14

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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.