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Finding the Fourth Proportional to 445.35, 666.84 and 420.04

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Solution

The fourth proportional to 445.35, 666.84 and 420.04 is: 628.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.35 : 666.84 = 420.04 : x
  2. Step 2: Convert to fraction form
    445.35/666.84 = 420.04/x
  3. Step 3: Cross multiply
    445.35x = 666.84 × 420.04
  4. Step 4: Simplify right side
    445.35x = 280,099.47
  5. Step 5: Solve for x
    x = 280,099.47/445.35
  6. Step 6: Final answer
    x = 628.94

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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.