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Finding the Fourth Proportional to 1,485.92, 2,229.72 and 620.24

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Solution

The fourth proportional to 1,485.92, 2,229.72 and 620.24 is: 930.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,485.92 : 2,229.72 = 620.24 : x
  2. Step 2: Convert to fraction form
    1,485.92/2,229.72 = 620.24/x
  3. Step 3: Cross multiply
    1,485.92x = 2,229.72 × 620.24
  4. Step 4: Simplify right side
    1,485.92x = 1,382,961.53
  5. Step 5: Solve for x
    x = 1,382,961.53/1,485.92
  6. Step 6: Final answer
    x = 930.71

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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.