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Finding the Fourth Proportional to 445.43, 667.11 and 430.05

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Solution

The fourth proportional to 445.43, 667.11 and 430.05 is: 644.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.43 : 667.11 = 430.05 : x
  2. Step 2: Convert to fraction form
    445.43/667.11 = 430.05/x
  3. Step 3: Cross multiply
    445.43x = 667.11 × 430.05
  4. Step 4: Simplify right side
    445.43x = 286,890.66
  5. Step 5: Solve for x
    x = 286,890.66/445.43
  6. Step 6: Final answer
    x = 644.08

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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.