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Finding the Fourth Proportional to 1,603.54, 2,405.31 and 449.29

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Solution

The fourth proportional to 1,603.54, 2,405.31 and 449.29 is: 673.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,603.54 : 2,405.31 = 449.29 : x
  2. Step 2: Convert to fraction form
    1,603.54/2,405.31 = 449.29/x
  3. Step 3: Cross multiply
    1,603.54x = 2,405.31 × 449.29
  4. Step 4: Simplify right side
    1,603.54x = 1,080,681.73
  5. Step 5: Solve for x
    x = 1,080,681.73/1,603.54
  6. Step 6: Final answer
    x = 673.94

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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.