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Finding the Fourth Proportional to 563.60, 850.22 and 534.80

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Solution

The fourth proportional to 563.60, 850.22 and 534.80 is: 806.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.60 : 850.22 = 534.80 : x
  2. Step 2: Convert to fraction form
    563.60/850.22 = 534.80/x
  3. Step 3: Cross multiply
    563.60x = 850.22 × 534.80
  4. Step 4: Simplify right side
    563.60x = 454,697.66
  5. Step 5: Solve for x
    x = 454,697.66/563.60
  6. Step 6: Final answer
    x = 806.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.