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Finding the Fourth Proportional to 600.40, 901.06 and 394.92

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Solution

The fourth proportional to 600.40, 901.06 and 394.92 is: 592.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.40 : 901.06 = 394.92 : x
  2. Step 2: Convert to fraction form
    600.40/901.06 = 394.92/x
  3. Step 3: Cross multiply
    600.40x = 901.06 × 394.92
  4. Step 4: Simplify right side
    600.40x = 355,846.62
  5. Step 5: Solve for x
    x = 355,846.62/600.40
  6. Step 6: Final answer
    x = 592.68

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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.