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Finding the Fourth Proportional to 798.87, 1,198.31 and 474.87

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Solution

The fourth proportional to 798.87, 1,198.31 and 474.87 is: 712.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.87 : 1,198.31 = 474.87 : x
  2. Step 2: Convert to fraction form
    798.87/1,198.31 = 474.87/x
  3. Step 3: Cross multiply
    798.87x = 1,198.31 × 474.87
  4. Step 4: Simplify right side
    798.87x = 569,039.10
  5. Step 5: Solve for x
    x = 569,039.10/798.87
  6. Step 6: Final answer
    x = 712.31

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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.