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Finding the Fourth Proportional to 563.62, 844.90 and 517.50

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Solution

The fourth proportional to 563.62, 844.90 and 517.50 is: 775.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.62 : 844.90 = 517.50 : x
  2. Step 2: Convert to fraction form
    563.62/844.90 = 517.50/x
  3. Step 3: Cross multiply
    563.62x = 844.90 × 517.50
  4. Step 4: Simplify right side
    563.62x = 437,235.75
  5. Step 5: Solve for x
    x = 437,235.75/563.62
  6. Step 6: Final answer
    x = 775.76

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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.