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Finding the Fourth Proportional to 2,299.36, 3,449.16 and 655.78

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Solution

The fourth proportional to 2,299.36, 3,449.16 and 655.78 is: 983.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,299.36 : 3,449.16 = 655.78 : x
  2. Step 2: Convert to fraction form
    2,299.36/3,449.16 = 655.78/x
  3. Step 3: Cross multiply
    2,299.36x = 3,449.16 × 655.78
  4. Step 4: Simplify right side
    2,299.36x = 2,261,872.90
  5. Step 5: Solve for x
    x = 2,261,872.90/2,299.36
  6. Step 6: Final answer
    x = 983.70

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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.