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Finding the Fourth Proportional to 574.39, 856.79 and 519.67

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Solution

The fourth proportional to 574.39, 856.79 and 519.67 is: 775.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.39 : 856.79 = 519.67 : x
  2. Step 2: Convert to fraction form
    574.39/856.79 = 519.67/x
  3. Step 3: Cross multiply
    574.39x = 856.79 × 519.67
  4. Step 4: Simplify right side
    574.39x = 445,248.06
  5. Step 5: Solve for x
    x = 445,248.06/574.39
  6. Step 6: Final answer
    x = 775.17

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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.