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Finding the Fourth Proportional to 520.32, 781 and 246.62

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Solution

The fourth proportional to 520.32, 781 and 246.62 is: 370.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.32 : 781 = 246.62 : x
  2. Step 2: Convert to fraction form
    520.32/781 = 246.62/x
  3. Step 3: Cross multiply
    520.32x = 781 × 246.62
  4. Step 4: Simplify right side
    520.32x = 192,610.22
  5. Step 5: Solve for x
    x = 192,610.22/520.32
  6. Step 6: Final answer
    x = 370.18

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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.