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Finding the Fourth Proportional to 1,003.95, 1,507.44 and 819.68

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Solution

The fourth proportional to 1,003.95, 1,507.44 and 819.68 is: 1,230.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003.95 : 1,507.44 = 819.68 : x
  2. Step 2: Convert to fraction form
    1,003.95/1,507.44 = 819.68/x
  3. Step 3: Cross multiply
    1,003.95x = 1,507.44 × 819.68
  4. Step 4: Simplify right side
    1,003.95x = 1,235,610.88
  5. Step 5: Solve for x
    x = 1,235,610.88/1,003.95
  6. Step 6: Final answer
    x = 1,230.75

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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.