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Finding the Fourth Proportional to 943.97, 1,302.39 and 746.87

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Solution

The fourth proportional to 943.97, 1,302.39 and 746.87 is: 1,030.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.97 : 1,302.39 = 746.87 : x
  2. Step 2: Convert to fraction form
    943.97/1,302.39 = 746.87/x
  3. Step 3: Cross multiply
    943.97x = 1,302.39 × 746.87
  4. Step 4: Simplify right side
    943.97x = 972,709.51
  5. Step 5: Solve for x
    x = 972,709.51/943.97
  6. Step 6: Final answer
    x = 1,030.45

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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.