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Finding the Fourth Proportional to 2,305.69, 3,458.12 and 661.91

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Solution

The fourth proportional to 2,305.69, 3,458.12 and 661.91 is: 992.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,305.69 : 3,458.12 = 661.91 : x
  2. Step 2: Convert to fraction form
    2,305.69/3,458.12 = 661.91/x
  3. Step 3: Cross multiply
    2,305.69x = 3,458.12 × 661.91
  4. Step 4: Simplify right side
    2,305.69x = 2,288,943.61
  5. Step 5: Solve for x
    x = 2,288,943.61/2,305.69
  6. Step 6: Final answer
    x = 992.74

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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.