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Finding the Fourth Proportional to 520.96, 781.08 and 246.86

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Solution

The fourth proportional to 520.96, 781.08 and 246.86 is: 370.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.96 : 781.08 = 246.86 : x
  2. Step 2: Convert to fraction form
    520.96/781.08 = 246.86/x
  3. Step 3: Cross multiply
    520.96x = 781.08 × 246.86
  4. Step 4: Simplify right side
    520.96x = 192,817.41
  5. Step 5: Solve for x
    x = 192,817.41/520.96
  6. Step 6: Final answer
    x = 370.12

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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.