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Finding the Fourth Proportional to 2,309.18, 3,463.36 and 665.69

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Solution

The fourth proportional to 2,309.18, 3,463.36 and 665.69 is: 998.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,309.18 : 3,463.36 = 665.69 : x
  2. Step 2: Convert to fraction form
    2,309.18/3,463.36 = 665.69/x
  3. Step 3: Cross multiply
    2,309.18x = 3,463.36 × 665.69
  4. Step 4: Simplify right side
    2,309.18x = 2,305,505.14
  5. Step 5: Solve for x
    x = 2,305,505.14/2,309.18
  6. Step 6: Final answer
    x = 998.41

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1.5x scale

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.