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Finding the Fourth Proportional to 1,363.97, 2,046.14 and 390.05

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Solution

The fourth proportional to 1,363.97, 2,046.14 and 390.05 is: 585.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,363.97 : 2,046.14 = 390.05 : x
  2. Step 2: Convert to fraction form
    1,363.97/2,046.14 = 390.05/x
  3. Step 3: Cross multiply
    1,363.97x = 2,046.14 × 390.05
  4. Step 4: Simplify right side
    1,363.97x = 798,084.73
  5. Step 5: Solve for x
    x = 798,084.73/1,363.97
  6. Step 6: Final answer
    x = 585.12

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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.