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Finding the Fourth Proportional to 2,299.20, 3,448.80 and 655.84

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Solution

The fourth proportional to 2,299.20, 3,448.80 and 655.84 is: 983.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,299.20 : 3,448.80 = 655.84 : x
  2. Step 2: Convert to fraction form
    2,299.20/3,448.80 = 655.84/x
  3. Step 3: Cross multiply
    2,299.20x = 3,448.80 × 655.84
  4. Step 4: Simplify right side
    2,299.20x = 2,261,860.99
  5. Step 5: Solve for x
    x = 2,261,860.99/2,299.20
  6. Step 6: Final answer
    x = 983.76

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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.