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Finding the Fourth Proportional to 2,299.79, 3,450.29 and 656.46

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Solution

The fourth proportional to 2,299.79, 3,450.29 and 656.46 is: 984.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,299.79 : 3,450.29 = 656.46 : x
  2. Step 2: Convert to fraction form
    2,299.79/3,450.29 = 656.46/x
  3. Step 3: Cross multiply
    2,299.79x = 3,450.29 × 656.46
  4. Step 4: Simplify right side
    2,299.79x = 2,264,979.01
  5. Step 5: Solve for x
    x = 2,264,979.01/2,299.79
  6. Step 6: Final answer
    x = 984.87

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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.