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Finding the Fourth Proportional to 721.42, 994.48 and 563.71

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Solution

The fourth proportional to 721.42, 994.48 and 563.71 is: 777.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.42 : 994.48 = 563.71 : x
  2. Step 2: Convert to fraction form
    721.42/994.48 = 563.71/x
  3. Step 3: Cross multiply
    721.42x = 994.48 × 563.71
  4. Step 4: Simplify right side
    721.42x = 560,598.32
  5. Step 5: Solve for x
    x = 560,598.32/721.42
  6. Step 6: Final answer
    x = 777.08

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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.