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Finding the Fourth Proportional to 520.20, 775.89 and 507.92

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Solution

The fourth proportional to 520.20, 775.89 and 507.92 is: 757.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.20 : 775.89 = 507.92 : x
  2. Step 2: Convert to fraction form
    520.20/775.89 = 507.92/x
  3. Step 3: Cross multiply
    520.20x = 775.89 × 507.92
  4. Step 4: Simplify right side
    520.20x = 394,086.17
  5. Step 5: Solve for x
    x = 394,086.17/520.20
  6. Step 6: Final answer
    x = 757.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.