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Finding the Fourth Proportional to 901.55, 1,351.42 and 381.68

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Solution

The fourth proportional to 901.55, 1,351.42 and 381.68 is: 572.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.55 : 1,351.42 = 381.68 : x
  2. Step 2: Convert to fraction form
    901.55/1,351.42 = 381.68/x
  3. Step 3: Cross multiply
    901.55x = 1,351.42 × 381.68
  4. Step 4: Simplify right side
    901.55x = 515,809.99
  5. Step 5: Solve for x
    x = 515,809.99/901.55
  6. Step 6: Final answer
    x = 572.14

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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.