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Finding the Fourth Proportional to 571.05, 851.31 and 523.67

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Solution

The fourth proportional to 571.05, 851.31 and 523.67 is: 780.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.05 : 851.31 = 523.67 : x
  2. Step 2: Convert to fraction form
    571.05/851.31 = 523.67/x
  3. Step 3: Cross multiply
    571.05x = 851.31 × 523.67
  4. Step 4: Simplify right side
    571.05x = 445,801.25
  5. Step 5: Solve for x
    x = 445,801.25/571.05
  6. Step 6: Final answer
    x = 780.67

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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.