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Finding the Fourth Proportional to 1,327.15, 1,990.58 and 353.33

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Solution

The fourth proportional to 1,327.15, 1,990.58 and 353.33 is: 529.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,327.15 : 1,990.58 = 353.33 : x
  2. Step 2: Convert to fraction form
    1,327.15/1,990.58 = 353.33/x
  3. Step 3: Cross multiply
    1,327.15x = 1,990.58 × 353.33
  4. Step 4: Simplify right side
    1,327.15x = 703,333.97
  5. Step 5: Solve for x
    x = 703,333.97/1,327.15
  6. Step 6: Final answer
    x = 529.96

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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.