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Finding the Fourth Proportional to 1,666.26, 2,299.31 and 958.07

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Solution

The fourth proportional to 1,666.26, 2,299.31 and 958.07 is: 1,322.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,666.26 : 2,299.31 = 958.07 : x
  2. Step 2: Convert to fraction form
    1,666.26/2,299.31 = 958.07/x
  3. Step 3: Cross multiply
    1,666.26x = 2,299.31 × 958.07
  4. Step 4: Simplify right side
    1,666.26x = 2,202,893.46
  5. Step 5: Solve for x
    x = 2,202,893.46/1,666.26
  6. Step 6: Final answer
    x = 1,322.06

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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.