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Finding the Fourth Proportional to 1,326.20, 1,989.29 and 414.20

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Solution

The fourth proportional to 1,326.20, 1,989.29 and 414.20 is: 621.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,326.20 : 1,989.29 = 414.20 : x
  2. Step 2: Convert to fraction form
    1,326.20/1,989.29 = 414.20/x
  3. Step 3: Cross multiply
    1,326.20x = 1,989.29 × 414.20
  4. Step 4: Simplify right side
    1,326.20x = 823,951.90
  5. Step 5: Solve for x
    x = 823,951.90/1,326.20
  6. Step 6: Final answer
    x = 621.29

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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.