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Finding the Fourth Proportional to 721.39, 994.34 and 563.74

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Solution

The fourth proportional to 721.39, 994.34 and 563.74 is: 777.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.39 : 994.34 = 563.74 : x
  2. Step 2: Convert to fraction form
    721.39/994.34 = 563.74/x
  3. Step 3: Cross multiply
    721.39x = 994.34 × 563.74
  4. Step 4: Simplify right side
    721.39x = 560,549.23
  5. Step 5: Solve for x
    x = 560,549.23/721.39
  6. Step 6: Final answer
    x = 777.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.