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Finding the Fourth Proportional to 600.87, 901.42 and 254.20

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Solution

The fourth proportional to 600.87, 901.42 and 254.20 is: 381.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.87 : 901.42 = 254.20 : x
  2. Step 2: Convert to fraction form
    600.87/901.42 = 254.20/x
  3. Step 3: Cross multiply
    600.87x = 901.42 × 254.20
  4. Step 4: Simplify right side
    600.87x = 229,140.96
  5. Step 5: Solve for x
    x = 229,140.96/600.87
  6. Step 6: Final answer
    x = 381.35

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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.