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Finding the Fourth Proportional to 1,347.39, 2,021.44 and 422.98

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Solution

The fourth proportional to 1,347.39, 2,021.44 and 422.98 is: 634.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,347.39 : 2,021.44 = 422.98 : x
  2. Step 2: Convert to fraction form
    1,347.39/2,021.44 = 422.98/x
  3. Step 3: Cross multiply
    1,347.39x = 2,021.44 × 422.98
  4. Step 4: Simplify right side
    1,347.39x = 855,028.69
  5. Step 5: Solve for x
    x = 855,028.69/1,347.39
  6. Step 6: Final answer
    x = 634.58

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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.