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Finding the Fourth Proportional to 798.59, 1,197.88 and 243.30

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Solution

The fourth proportional to 798.59, 1,197.88 and 243.30 is: 364.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.59 : 1,197.88 = 243.30 : x
  2. Step 2: Convert to fraction form
    798.59/1,197.88 = 243.30/x
  3. Step 3: Cross multiply
    798.59x = 1,197.88 × 243.30
  4. Step 4: Simplify right side
    798.59x = 291,442.34
  5. Step 5: Solve for x
    x = 291,442.34/798.59
  6. Step 6: Final answer
    x = 364.95

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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.