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Finding the Fourth Proportional to 819.01, 1,228.52 and 332.05

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Solution

The fourth proportional to 819.01, 1,228.52 and 332.05 is: 498.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.01 : 1,228.52 = 332.05 : x
  2. Step 2: Convert to fraction form
    819.01/1,228.52 = 332.05/x
  3. Step 3: Cross multiply
    819.01x = 1,228.52 × 332.05
  4. Step 4: Simplify right side
    819.01x = 407,930.07
  5. Step 5: Solve for x
    x = 407,930.07/819.01
  6. Step 6: Final answer
    x = 498.08

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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.