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Finding the Fourth Proportional to 798.21, 1,197.10 and 304.66

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Solution

The fourth proportional to 798.21, 1,197.10 and 304.66 is: 456.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.21 : 1,197.10 = 304.66 : x
  2. Step 2: Convert to fraction form
    798.21/1,197.10 = 304.66/x
  3. Step 3: Cross multiply
    798.21x = 1,197.10 × 304.66
  4. Step 4: Simplify right side
    798.21x = 364,704.73
  5. Step 5: Solve for x
    x = 364,704.73/798.21
  6. Step 6: Final answer
    x = 456.90

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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.