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Finding the Fourth Proportional to 520.39, 780.87 and 231.83

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Solution

The fourth proportional to 520.39, 780.87 and 231.83 is: 347.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.39 : 780.87 = 231.83 : x
  2. Step 2: Convert to fraction form
    520.39/780.87 = 231.83/x
  3. Step 3: Cross multiply
    520.39x = 780.87 × 231.83
  4. Step 4: Simplify right side
    520.39x = 181,028.99
  5. Step 5: Solve for x
    x = 181,028.99/520.39
  6. Step 6: Final answer
    x = 347.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.