Home / 1,582.19-2,372.38-759.35

Finding the Fourth Proportional to 1,582.19, 2,372.38 and 759.35

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Solution

The fourth proportional to 1,582.19, 2,372.38 and 759.35 is: 1,138.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582.19 : 2,372.38 = 759.35 : x
  2. Step 2: Convert to fraction form
    1,582.19/2,372.38 = 759.35/x
  3. Step 3: Cross multiply
    1,582.19x = 2,372.38 × 759.35
  4. Step 4: Simplify right side
    1,582.19x = 1,801,466.75
  5. Step 5: Solve for x
    x = 1,801,466.75/1,582.19
  6. Step 6: Final answer
    x = 1,138.59

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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.