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Finding the Fourth Proportional to 600.42, 901.14 and 418.20

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Solution

The fourth proportional to 600.42, 901.14 and 418.20 is: 627.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.42 : 901.14 = 418.20 : x
  2. Step 2: Convert to fraction form
    600.42/901.14 = 418.20/x
  3. Step 3: Cross multiply
    600.42x = 901.14 × 418.20
  4. Step 4: Simplify right side
    600.42x = 376,856.75
  5. Step 5: Solve for x
    x = 376,856.75/600.42
  6. Step 6: Final answer
    x = 627.66

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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.