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Finding the Fourth Proportional to 1,344.82, 2,017.28 and 371.00

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Solution

The fourth proportional to 1,344.82, 2,017.28 and 371.00 is: 556.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,344.82 : 2,017.28 = 371.00 : x
  2. Step 2: Convert to fraction form
    1,344.82/2,017.28 = 371.00/x
  3. Step 3: Cross multiply
    1,344.82x = 2,017.28 × 371.00
  4. Step 4: Simplify right side
    1,344.82x = 748,400.79
  5. Step 5: Solve for x
    x = 748,400.79/1,344.82
  6. Step 6: Final answer
    x = 556.51

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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.