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Finding the Fourth Proportional to 798.08, 1,195.20 and 385.88

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Solution

The fourth proportional to 798.08, 1,195.20 and 385.88 is: 577.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.08 : 1,195.20 = 385.88 : x
  2. Step 2: Convert to fraction form
    798.08/1,195.20 = 385.88/x
  3. Step 3: Cross multiply
    798.08x = 1,195.20 × 385.88
  4. Step 4: Simplify right side
    798.08x = 461,197.80
  5. Step 5: Solve for x
    x = 461,197.80/798.08
  6. Step 6: Final answer
    x = 577.89

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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.