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Finding the Fourth Proportional to 2,308.50, 3,463.22 and 664.91

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Solution

The fourth proportional to 2,308.50, 3,463.22 and 664.91 is: 997.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,308.50 : 3,463.22 = 664.91 : x
  2. Step 2: Convert to fraction form
    2,308.50/3,463.22 = 664.91/x
  3. Step 3: Cross multiply
    2,308.50x = 3,463.22 × 664.91
  4. Step 4: Simplify right side
    2,308.50x = 2,302,726.94
  5. Step 5: Solve for x
    x = 2,302,726.94/2,308.50
  6. Step 6: Final answer
    x = 997.50

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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.