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Finding the Fourth Proportional to 943.67, 1,303.45 and 725.27

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Solution

The fourth proportional to 943.67, 1,303.45 and 725.27 is: 1,001.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.67 : 1,303.45 = 725.27 : x
  2. Step 2: Convert to fraction form
    943.67/1,303.45 = 725.27/x
  3. Step 3: Cross multiply
    943.67x = 1,303.45 × 725.27
  4. Step 4: Simplify right side
    943.67x = 945,352.81
  5. Step 5: Solve for x
    x = 945,352.81/943.67
  6. Step 6: Final answer
    x = 1,001.79

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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.