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Finding the Fourth Proportional to 883.11, 1,218.74 and 661.71

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Solution

The fourth proportional to 883.11, 1,218.74 and 661.71 is: 913.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.11 : 1,218.74 = 661.71 : x
  2. Step 2: Convert to fraction form
    883.11/1,218.74 = 661.71/x
  3. Step 3: Cross multiply
    883.11x = 1,218.74 × 661.71
  4. Step 4: Simplify right side
    883.11x = 806,449.14
  5. Step 5: Solve for x
    x = 806,449.14/883.11
  6. Step 6: Final answer
    x = 913.19

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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.