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Finding the Fourth Proportional to 1,489.92, 2,235.06 and 394.31

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Solution

The fourth proportional to 1,489.92, 2,235.06 and 394.31 is: 591.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,489.92 : 2,235.06 = 394.31 : x
  2. Step 2: Convert to fraction form
    1,489.92/2,235.06 = 394.31/x
  3. Step 3: Cross multiply
    1,489.92x = 2,235.06 × 394.31
  4. Step 4: Simplify right side
    1,489.92x = 881,295.33
  5. Step 5: Solve for x
    x = 881,295.33/1,489.92
  6. Step 6: Final answer
    x = 591.51

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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.