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Finding the Fourth Proportional to 1,653.22, 2,480.26 and 728.96

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Solution

The fourth proportional to 1,653.22, 2,480.26 and 728.96 is: 1,093.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,653.22 : 2,480.26 = 728.96 : x
  2. Step 2: Convert to fraction form
    1,653.22/2,480.26 = 728.96/x
  3. Step 3: Cross multiply
    1,653.22x = 2,480.26 × 728.96
  4. Step 4: Simplify right side
    1,653.22x = 1,808,010.33
  5. Step 5: Solve for x
    x = 1,808,010.33/1,653.22
  6. Step 6: Final answer
    x = 1,093.63

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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.