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Finding the Fourth Proportional to 520.87, 780.76 and 247.13

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Solution

The fourth proportional to 520.87, 780.76 and 247.13 is: 370.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.87 : 780.76 = 247.13 : x
  2. Step 2: Convert to fraction form
    520.87/780.76 = 247.13/x
  3. Step 3: Cross multiply
    520.87x = 780.76 × 247.13
  4. Step 4: Simplify right side
    520.87x = 192,949.22
  5. Step 5: Solve for x
    x = 192,949.22/520.87
  6. Step 6: Final answer
    x = 370.44

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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.