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Finding the Fourth Proportional to 2,299.05, 3,448.61 and 655.53

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Solution

The fourth proportional to 2,299.05, 3,448.61 and 655.53 is: 983.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,299.05 : 3,448.61 = 655.53 : x
  2. Step 2: Convert to fraction form
    2,299.05/3,448.61 = 655.53/x
  3. Step 3: Cross multiply
    2,299.05x = 3,448.61 × 655.53
  4. Step 4: Simplify right side
    2,299.05x = 2,260,653.56
  5. Step 5: Solve for x
    x = 2,260,653.56/2,299.05
  6. Step 6: Final answer
    x = 983.30

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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.