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Finding the Fourth Proportional to 447.67, 670.08 and 430.66

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Solution

The fourth proportional to 447.67, 670.08 and 430.66 is: 644.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.67 : 670.08 = 430.66 : x
  2. Step 2: Convert to fraction form
    447.67/670.08 = 430.66/x
  3. Step 3: Cross multiply
    447.67x = 670.08 × 430.66
  4. Step 4: Simplify right side
    447.67x = 288,573.30
  5. Step 5: Solve for x
    x = 288,573.30/447.67
  6. Step 6: Final answer
    x = 644.62

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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.