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Finding the Fourth Proportional to 445.93, 669.18 and 442.27

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Solution

The fourth proportional to 445.93, 669.18 and 442.27 is: 663.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.93 : 669.18 = 442.27 : x
  2. Step 2: Convert to fraction form
    445.93/669.18 = 442.27/x
  3. Step 3: Cross multiply
    445.93x = 669.18 × 442.27
  4. Step 4: Simplify right side
    445.93x = 295,958.24
  5. Step 5: Solve for x
    x = 295,958.24/445.93
  6. Step 6: Final answer
    x = 663.69

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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.