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Finding the Fourth Proportional to 943.09, 1,302.82 and 818.54

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Solution

The fourth proportional to 943.09, 1,302.82 and 818.54 is: 1,130.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.09 : 1,302.82 = 818.54 : x
  2. Step 2: Convert to fraction form
    943.09/1,302.82 = 818.54/x
  3. Step 3: Cross multiply
    943.09x = 1,302.82 × 818.54
  4. Step 4: Simplify right side
    943.09x = 1,066,410.28
  5. Step 5: Solve for x
    x = 1,066,410.28/943.09
  6. Step 6: Final answer
    x = 1,130.76

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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.