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Finding the Fourth Proportional to 798.57, 1,197.05 and 310.95

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Solution

The fourth proportional to 798.57, 1,197.05 and 310.95 is: 466.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.57 : 1,197.05 = 310.95 : x
  2. Step 2: Convert to fraction form
    798.57/1,197.05 = 310.95/x
  3. Step 3: Cross multiply
    798.57x = 1,197.05 × 310.95
  4. Step 4: Simplify right side
    798.57x = 372,221.14
  5. Step 5: Solve for x
    x = 372,221.14/798.57
  6. Step 6: Final answer
    x = 466.11

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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.