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Finding the Fourth Proportional to 520.86, 780.76 and 247.19

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Solution

The fourth proportional to 520.86, 780.76 and 247.19 is: 370.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.86 : 780.76 = 247.19 : x
  2. Step 2: Convert to fraction form
    520.86/780.76 = 247.19/x
  3. Step 3: Cross multiply
    520.86x = 780.76 × 247.19
  4. Step 4: Simplify right side
    520.86x = 192,993.16
  5. Step 5: Solve for x
    x = 192,993.16/520.86
  6. Step 6: Final answer
    x = 370.53

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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.