Home / 1,158.92-1,738.83-428.57

Finding the Fourth Proportional to 1,158.92, 1,738.83 and 428.57

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Solution

The fourth proportional to 1,158.92, 1,738.83 and 428.57 is: 643.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,158.92 : 1,738.83 = 428.57 : x
  2. Step 2: Convert to fraction form
    1,158.92/1,738.83 = 428.57/x
  3. Step 3: Cross multiply
    1,158.92x = 1,738.83 × 428.57
  4. Step 4: Simplify right side
    1,158.92x = 745,201.68
  5. Step 5: Solve for x
    x = 745,201.68/1,158.92
  6. Step 6: Final answer
    x = 643.02

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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.