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Finding the Fourth Proportional to 798.46, 1,198.70 and 615.98

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Solution

The fourth proportional to 798.46, 1,198.70 and 615.98 is: 924.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.46 : 1,198.70 = 615.98 : x
  2. Step 2: Convert to fraction form
    798.46/1,198.70 = 615.98/x
  3. Step 3: Cross multiply
    798.46x = 1,198.70 × 615.98
  4. Step 4: Simplify right side
    798.46x = 738,375.23
  5. Step 5: Solve for x
    x = 738,375.23/798.46
  6. Step 6: Final answer
    x = 924.75

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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.