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Finding the Fourth Proportional to 974.11, 1,459.64 and 563.44

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Solution

The fourth proportional to 974.11, 1,459.64 and 563.44 is: 844.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.11 : 1,459.64 = 563.44 : x
  2. Step 2: Convert to fraction form
    974.11/1,459.64 = 563.44/x
  3. Step 3: Cross multiply
    974.11x = 1,459.64 × 563.44
  4. Step 4: Simplify right side
    974.11x = 822,419.56
  5. Step 5: Solve for x
    x = 822,419.56/974.11
  6. Step 6: Final answer
    x = 844.28

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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.