Home / 1,620.70-2,431.29-742.54

Finding the Fourth Proportional to 1,620.70, 2,431.29 and 742.54

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Solution

The fourth proportional to 1,620.70, 2,431.29 and 742.54 is: 1,113.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,620.70 : 2,431.29 = 742.54 : x
  2. Step 2: Convert to fraction form
    1,620.70/2,431.29 = 742.54/x
  3. Step 3: Cross multiply
    1,620.70x = 2,431.29 × 742.54
  4. Step 4: Simplify right side
    1,620.70x = 1,805,330.08
  5. Step 5: Solve for x
    x = 1,805,330.08/1,620.70
  6. Step 6: Final answer
    x = 1,113.92

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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.