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Finding the Fourth Proportional to 2,305.76, 3,458 and 661.86

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Solution

The fourth proportional to 2,305.76, 3,458 and 661.86 is: 992.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,305.76 : 3,458 = 661.86 : x
  2. Step 2: Convert to fraction form
    2,305.76/3,458 = 661.86/x
  3. Step 3: Cross multiply
    2,305.76x = 3,458 × 661.86
  4. Step 4: Simplify right side
    2,305.76x = 2,288,711.88
  5. Step 5: Solve for x
    x = 2,288,711.88/2,305.76
  6. Step 6: Final answer
    x = 992.61

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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.