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Finding the Fourth Proportional to 2,305.17, 3,457.86 and 661.95

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Solution

The fourth proportional to 2,305.17, 3,457.86 and 661.95 is: 992.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,305.17 : 3,457.86 = 661.95 : x
  2. Step 2: Convert to fraction form
    2,305.17/3,457.86 = 661.95/x
  3. Step 3: Cross multiply
    2,305.17x = 3,457.86 × 661.95
  4. Step 4: Simplify right side
    2,305.17x = 2,288,930.43
  5. Step 5: Solve for x
    x = 2,288,930.43/2,305.17
  6. Step 6: Final answer
    x = 992.96

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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.