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Finding the Fourth Proportional to 944.07, 1,412.45 and 634.44

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Solution

The fourth proportional to 944.07, 1,412.45 and 634.44 is: 949.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.07 : 1,412.45 = 634.44 : x
  2. Step 2: Convert to fraction form
    944.07/1,412.45 = 634.44/x
  3. Step 3: Cross multiply
    944.07x = 1,412.45 × 634.44
  4. Step 4: Simplify right side
    944.07x = 896,114.78
  5. Step 5: Solve for x
    x = 896,114.78/944.07
  6. Step 6: Final answer
    x = 949.20

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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.