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Finding the Fourth Proportional to 1,372.22, 2,058.72 and 506.62

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Solution

The fourth proportional to 1,372.22, 2,058.72 and 506.62 is: 760.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,372.22 : 2,058.72 = 506.62 : x
  2. Step 2: Convert to fraction form
    1,372.22/2,058.72 = 506.62/x
  3. Step 3: Cross multiply
    1,372.22x = 2,058.72 × 506.62
  4. Step 4: Simplify right side
    1,372.22x = 1,042,988.73
  5. Step 5: Solve for x
    x = 1,042,988.73/1,372.22
  6. Step 6: Final answer
    x = 760.07

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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.