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Finding the Fourth Proportional to 943.92, 1,301.40 and 869.76

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Solution

The fourth proportional to 943.92, 1,301.40 and 869.76 is: 1,199.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.92 : 1,301.40 = 869.76 : x
  2. Step 2: Convert to fraction form
    943.92/1,301.40 = 869.76/x
  3. Step 3: Cross multiply
    943.92x = 1,301.40 × 869.76
  4. Step 4: Simplify right side
    943.92x = 1,131,905.66
  5. Step 5: Solve for x
    x = 1,131,905.66/943.92
  6. Step 6: Final answer
    x = 1,199.15

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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.