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Finding the Fourth Proportional to 798.50, 1,198.02 and 414.02

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Solution

The fourth proportional to 798.50, 1,198.02 and 414.02 is: 621.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.50 : 1,198.02 = 414.02 : x
  2. Step 2: Convert to fraction form
    798.50/1,198.02 = 414.02/x
  3. Step 3: Cross multiply
    798.50x = 1,198.02 × 414.02
  4. Step 4: Simplify right side
    798.50x = 496,004.24
  5. Step 5: Solve for x
    x = 496,004.24/798.50
  6. Step 6: Final answer
    x = 621.17

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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.