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Finding the Fourth Proportional to 943.23, 1,293.54 and 903.81

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Solution

The fourth proportional to 943.23, 1,293.54 and 903.81 is: 1,239.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.23 : 1,293.54 = 903.81 : x
  2. Step 2: Convert to fraction form
    943.23/1,293.54 = 903.81/x
  3. Step 3: Cross multiply
    943.23x = 1,293.54 × 903.81
  4. Step 4: Simplify right side
    943.23x = 1,169,114.39
  5. Step 5: Solve for x
    x = 1,169,114.39/943.23
  6. Step 6: Final answer
    x = 1,239.48

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.