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Finding the Fourth Proportional to 2,305.06, 3,457.47 and 661.61

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Solution

The fourth proportional to 2,305.06, 3,457.47 and 661.61 is: 992.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,305.06 : 3,457.47 = 661.61 : x
  2. Step 2: Convert to fraction form
    2,305.06/3,457.47 = 661.61/x
  3. Step 3: Cross multiply
    2,305.06x = 3,457.47 × 661.61
  4. Step 4: Simplify right side
    2,305.06x = 2,287,495.88
  5. Step 5: Solve for x
    x = 2,287,495.88/2,305.06
  6. Step 6: Final answer
    x = 992.38

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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.