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Finding the Fourth Proportional to 1,422.90, 2,134.38 and 448.98

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Solution

The fourth proportional to 1,422.90, 2,134.38 and 448.98 is: 673.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,422.90 : 2,134.38 = 448.98 : x
  2. Step 2: Convert to fraction form
    1,422.90/2,134.38 = 448.98/x
  3. Step 3: Cross multiply
    1,422.90x = 2,134.38 × 448.98
  4. Step 4: Simplify right side
    1,422.90x = 958,293.93
  5. Step 5: Solve for x
    x = 958,293.93/1,422.90
  6. Step 6: Final answer
    x = 673.48

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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.