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Finding the Fourth Proportional to 900.91, 1,351.91 and 439.21

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Solution

The fourth proportional to 900.91, 1,351.91 and 439.21 is: 659.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.91 : 1,351.91 = 439.21 : x
  2. Step 2: Convert to fraction form
    900.91/1,351.91 = 439.21/x
  3. Step 3: Cross multiply
    900.91x = 1,351.91 × 439.21
  4. Step 4: Simplify right side
    900.91x = 593,772.39
  5. Step 5: Solve for x
    x = 593,772.39/900.91
  6. Step 6: Final answer
    x = 659.08

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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.