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Finding the Fourth Proportional to 944.11, 1,301.82 and 612.10

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Solution

The fourth proportional to 944.11, 1,301.82 and 612.10 is: 844.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.11 : 1,301.82 = 612.10 : x
  2. Step 2: Convert to fraction form
    944.11/1,301.82 = 612.10/x
  3. Step 3: Cross multiply
    944.11x = 1,301.82 × 612.10
  4. Step 4: Simplify right side
    944.11x = 796,844.02
  5. Step 5: Solve for x
    x = 796,844.02/944.11
  6. Step 6: Final answer
    x = 844.02

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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.