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Finding the Fourth Proportional to 520.62, 780.85 and 246.88

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Solution

The fourth proportional to 520.62, 780.85 and 246.88 is: 370.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.62 : 780.85 = 246.88 : x
  2. Step 2: Convert to fraction form
    520.62/780.85 = 246.88/x
  3. Step 3: Cross multiply
    520.62x = 780.85 × 246.88
  4. Step 4: Simplify right side
    520.62x = 192,776.25
  5. Step 5: Solve for x
    x = 192,776.25/520.62
  6. Step 6: Final answer
    x = 370.28

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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.