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Finding the Fourth Proportional to 600.70, 901.05 and 406.30

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Solution

The fourth proportional to 600.70, 901.05 and 406.30 is: 609.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.70 : 901.05 = 406.30 : x
  2. Step 2: Convert to fraction form
    600.70/901.05 = 406.30/x
  3. Step 3: Cross multiply
    600.70x = 901.05 × 406.30
  4. Step 4: Simplify right side
    600.70x = 366,096.62
  5. Step 5: Solve for x
    x = 366,096.62/600.70
  6. Step 6: Final answer
    x = 609.45

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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.