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Finding the Fourth Proportional to 520.87, 781.34 and 305.82

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Solution

The fourth proportional to 520.87, 781.34 and 305.82 is: 458.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.87 : 781.34 = 305.82 : x
  2. Step 2: Convert to fraction form
    520.87/781.34 = 305.82/x
  3. Step 3: Cross multiply
    520.87x = 781.34 × 305.82
  4. Step 4: Simplify right side
    520.87x = 238,949.40
  5. Step 5: Solve for x
    x = 238,949.40/520.87
  6. Step 6: Final answer
    x = 458.75

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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.