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Finding the Fourth Proportional to 1,603.28, 2,404.98 and 449

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Solution

The fourth proportional to 1,603.28, 2,404.98 and 449 is: 673.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,603.28 : 2,404.98 = 449 : x
  2. Step 2: Convert to fraction form
    1,603.28/2,404.98 = 449/x
  3. Step 3: Cross multiply
    1,603.28x = 2,404.98 × 449
  4. Step 4: Simplify right side
    1,603.28x = 1,079,836.02
  5. Step 5: Solve for x
    x = 1,079,836.02/1,603.28
  6. Step 6: Final answer
    x = 673.52

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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.