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Finding the Fourth Proportional to 1,481.92, 2,222.82 and 508.03

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Solution

The fourth proportional to 1,481.92, 2,222.82 and 508.03 is: 762.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,481.92 : 2,222.82 = 508.03 : x
  2. Step 2: Convert to fraction form
    1,481.92/2,222.82 = 508.03/x
  3. Step 3: Cross multiply
    1,481.92x = 2,222.82 × 508.03
  4. Step 4: Simplify right side
    1,481.92x = 1,129,259.24
  5. Step 5: Solve for x
    x = 1,129,259.24/1,481.92
  6. Step 6: Final answer
    x = 762.02

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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.