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Finding the Fourth Proportional to 1,423, 2,134.49 and 449.09

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Solution

The fourth proportional to 1,423, 2,134.49 and 449.09 is: 673.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,423 : 2,134.49 = 449.09 : x
  2. Step 2: Convert to fraction form
    1,423/2,134.49 = 449.09/x
  3. Step 3: Cross multiply
    1,423x = 2,134.49 × 449.09
  4. Step 4: Simplify right side
    1,423x = 958,578.11
  5. Step 5: Solve for x
    x = 958,578.11/1,423
  6. Step 6: Final answer
    x = 673.63

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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.