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Finding the Fourth Proportional to 798.63, 1,196.86 and 414.15

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Solution

The fourth proportional to 798.63, 1,196.86 and 414.15 is: 620.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.63 : 1,196.86 = 414.15 : x
  2. Step 2: Convert to fraction form
    798.63/1,196.86 = 414.15/x
  3. Step 3: Cross multiply
    798.63x = 1,196.86 × 414.15
  4. Step 4: Simplify right side
    798.63x = 495,679.57
  5. Step 5: Solve for x
    x = 495,679.57/798.63
  6. Step 6: Final answer
    x = 620.66

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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.