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Finding the Fourth Proportional to 445.23, 668.31 and 428.84

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Solution

The fourth proportional to 445.23, 668.31 and 428.84 is: 643.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.23 : 668.31 = 428.84 : x
  2. Step 2: Convert to fraction form
    445.23/668.31 = 428.84/x
  3. Step 3: Cross multiply
    445.23x = 668.31 × 428.84
  4. Step 4: Simplify right side
    445.23x = 286,594.72
  5. Step 5: Solve for x
    x = 286,594.72/445.23
  6. Step 6: Final answer
    x = 643.70

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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.