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Finding the Fourth Proportional to 524.20, 782.20 and 520.60

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Solution

The fourth proportional to 524.20, 782.20 and 520.60 is: 776.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.20 : 782.20 = 520.60 : x
  2. Step 2: Convert to fraction form
    524.20/782.20 = 520.60/x
  3. Step 3: Cross multiply
    524.20x = 782.20 × 520.60
  4. Step 4: Simplify right side
    524.20x = 407,213.32
  5. Step 5: Solve for x
    x = 407,213.32/524.20
  6. Step 6: Final answer
    x = 776.83

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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.