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Finding the Fourth Proportional to 1,660.23, 2,290.98 and 952.05

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Solution

The fourth proportional to 1,660.23, 2,290.98 and 952.05 is: 1,313.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,660.23 : 2,290.98 = 952.05 : x
  2. Step 2: Convert to fraction form
    1,660.23/2,290.98 = 952.05/x
  3. Step 3: Cross multiply
    1,660.23x = 2,290.98 × 952.05
  4. Step 4: Simplify right side
    1,660.23x = 2,181,139.67
  5. Step 5: Solve for x
    x = 2,181,139.67/1,660.23
  6. Step 6: Final answer
    x = 1,313.76

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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.