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Finding the Fourth Proportional to 2,305.40, 3,458.26 and 661.96

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Solution

The fourth proportional to 2,305.40, 3,458.26 and 661.96 is: 992.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,305.40 : 3,458.26 = 661.96 : x
  2. Step 2: Convert to fraction form
    2,305.40/3,458.26 = 661.96/x
  3. Step 3: Cross multiply
    2,305.40x = 3,458.26 × 661.96
  4. Step 4: Simplify right side
    2,305.40x = 2,289,229.79
  5. Step 5: Solve for x
    x = 2,289,229.79/2,305.40
  6. Step 6: Final answer
    x = 992.99

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.