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Finding the Fourth Proportional to 800.98, 1,201.59 and 338.76

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Solution

The fourth proportional to 800.98, 1,201.59 and 338.76 is: 508.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.98 : 1,201.59 = 338.76 : x
  2. Step 2: Convert to fraction form
    800.98/1,201.59 = 338.76/x
  3. Step 3: Cross multiply
    800.98x = 1,201.59 × 338.76
  4. Step 4: Simplify right side
    800.98x = 407,044.85
  5. Step 5: Solve for x
    x = 407,044.85/800.98
  6. Step 6: Final answer
    x = 508.19

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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.