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Finding the Fourth Proportional to 798.74, 1,198.11 and 456.50

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Solution

The fourth proportional to 798.74, 1,198.11 and 456.50 is: 684.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.74 : 1,198.11 = 456.50 : x
  2. Step 2: Convert to fraction form
    798.74/1,198.11 = 456.50/x
  3. Step 3: Cross multiply
    798.74x = 1,198.11 × 456.50
  4. Step 4: Simplify right side
    798.74x = 546,937.22
  5. Step 5: Solve for x
    x = 546,937.22/798.74
  6. Step 6: Final answer
    x = 684.75

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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.