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Finding the Fourth Proportional to 1,666.27, 2,299.41 and 920.22

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Solution

The fourth proportional to 1,666.27, 2,299.41 and 920.22 is: 1,269.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,666.27 : 2,299.41 = 920.22 : x
  2. Step 2: Convert to fraction form
    1,666.27/2,299.41 = 920.22/x
  3. Step 3: Cross multiply
    1,666.27x = 2,299.41 × 920.22
  4. Step 4: Simplify right side
    1,666.27x = 2,115,963.07
  5. Step 5: Solve for x
    x = 2,115,963.07/1,666.27
  6. Step 6: Final answer
    x = 1,269.88

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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.