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Finding the Fourth Proportional to 900.91, 1,351.63 and 381.14

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Solution

The fourth proportional to 900.91, 1,351.63 and 381.14 is: 571.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.91 : 1,351.63 = 381.14 : x
  2. Step 2: Convert to fraction form
    900.91/1,351.63 = 381.14/x
  3. Step 3: Cross multiply
    900.91x = 1,351.63 × 381.14
  4. Step 4: Simplify right side
    900.91x = 515,153.50
  5. Step 5: Solve for x
    x = 515,153.50/900.91
  6. Step 6: Final answer
    x = 571.82

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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.