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Finding the Fourth Proportional to 1,660.70, 2,291.82 and 952.31

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Solution

The fourth proportional to 1,660.70, 2,291.82 and 952.31 is: 1,314.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,660.70 : 2,291.82 = 952.31 : x
  2. Step 2: Convert to fraction form
    1,660.70/2,291.82 = 952.31/x
  3. Step 3: Cross multiply
    1,660.70x = 2,291.82 × 952.31
  4. Step 4: Simplify right side
    1,660.70x = 2,182,523.10
  5. Step 5: Solve for x
    x = 2,182,523.10/1,660.70
  6. Step 6: Final answer
    x = 1,314.22

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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.