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Finding the Fourth Proportional to 600.30, 900.45 and 414.70

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Solution

The fourth proportional to 600.30, 900.45 and 414.70 is: 622.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.30 : 900.45 = 414.70 : x
  2. Step 2: Convert to fraction form
    600.30/900.45 = 414.70/x
  3. Step 3: Cross multiply
    600.30x = 900.45 × 414.70
  4. Step 4: Simplify right side
    600.30x = 373,416.62
  5. Step 5: Solve for x
    x = 373,416.62/600.30
  6. Step 6: Final answer
    x = 622.05

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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.