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Finding the Fourth Proportional to 600.07, 900.10 and 327.90

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Solution

The fourth proportional to 600.07, 900.10 and 327.90 is: 491.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.07 : 900.10 = 327.90 : x
  2. Step 2: Convert to fraction form
    600.07/900.10 = 327.90/x
  3. Step 3: Cross multiply
    600.07x = 900.10 × 327.90
  4. Step 4: Simplify right side
    600.07x = 295,142.79
  5. Step 5: Solve for x
    x = 295,142.79/600.07
  6. Step 6: Final answer
    x = 491.85

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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.