Home / 1,372.14-2,058.45-823.59

Finding the Fourth Proportional to 1,372.14, 2,058.45 and 823.59

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Solution

The fourth proportional to 1,372.14, 2,058.45 and 823.59 is: 1,235.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,372.14 : 2,058.45 = 823.59 : x
  2. Step 2: Convert to fraction form
    1,372.14/2,058.45 = 823.59/x
  3. Step 3: Cross multiply
    1,372.14x = 2,058.45 × 823.59
  4. Step 4: Simplify right side
    1,372.14x = 1,695,318.84
  5. Step 5: Solve for x
    x = 1,695,318.84/1,372.14
  6. Step 6: Final answer
    x = 1,235.53

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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.