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Finding the Fourth Proportional to 944.20, 1,303.46 and 629.96

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Solution

The fourth proportional to 944.20, 1,303.46 and 629.96 is: 869.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.20 : 1,303.46 = 629.96 : x
  2. Step 2: Convert to fraction form
    944.20/1,303.46 = 629.96/x
  3. Step 3: Cross multiply
    944.20x = 1,303.46 × 629.96
  4. Step 4: Simplify right side
    944.20x = 821,127.66
  5. Step 5: Solve for x
    x = 821,127.66/944.20
  6. Step 6: Final answer
    x = 869.65

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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.