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Finding the Fourth Proportional to 944.11, 1,412.05 and 553.18

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Solution

The fourth proportional to 944.11, 1,412.05 and 553.18 is: 827.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.11 : 1,412.05 = 553.18 : x
  2. Step 2: Convert to fraction form
    944.11/1,412.05 = 553.18/x
  3. Step 3: Cross multiply
    944.11x = 1,412.05 × 553.18
  4. Step 4: Simplify right side
    944.11x = 781,117.82
  5. Step 5: Solve for x
    x = 781,117.82/944.11
  6. Step 6: Final answer
    x = 827.36

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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.