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Finding the Fourth Proportional to 563.57, 843.61 and 515.73

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Solution

The fourth proportional to 563.57, 843.61 and 515.73 is: 772.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.57 : 843.61 = 515.73 : x
  2. Step 2: Convert to fraction form
    563.57/843.61 = 515.73/x
  3. Step 3: Cross multiply
    563.57x = 843.61 × 515.73
  4. Step 4: Simplify right side
    563.57x = 435,074.99
  5. Step 5: Solve for x
    x = 435,074.99/563.57
  6. Step 6: Final answer
    x = 772.00

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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.