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Finding the Fourth Proportional to 584.76, 871.92 and 520.37

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Solution

The fourth proportional to 584.76, 871.92 and 520.37 is: 775.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.76 : 871.92 = 520.37 : x
  2. Step 2: Convert to fraction form
    584.76/871.92 = 520.37/x
  3. Step 3: Cross multiply
    584.76x = 871.92 × 520.37
  4. Step 4: Simplify right side
    584.76x = 453,716.65
  5. Step 5: Solve for x
    x = 453,716.65/584.76
  6. Step 6: Final answer
    x = 775.90

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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.