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Finding the Fourth Proportional to 1,372.95, 2,058.21 and 825.39

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Solution

The fourth proportional to 1,372.95, 2,058.21 and 825.39 is: 1,237.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,372.95 : 2,058.21 = 825.39 : x
  2. Step 2: Convert to fraction form
    1,372.95/2,058.21 = 825.39/x
  3. Step 3: Cross multiply
    1,372.95x = 2,058.21 × 825.39
  4. Step 4: Simplify right side
    1,372.95x = 1,698,825.95
  5. Step 5: Solve for x
    x = 1,698,825.95/1,372.95
  6. Step 6: Final answer
    x = 1,237.35

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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.