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Finding the Fourth Proportional to 443.64, 669.33 and 442.42

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Solution

The fourth proportional to 443.64, 669.33 and 442.42 is: 667.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.64 : 669.33 = 442.42 : x
  2. Step 2: Convert to fraction form
    443.64/669.33 = 442.42/x
  3. Step 3: Cross multiply
    443.64x = 669.33 × 442.42
  4. Step 4: Simplify right side
    443.64x = 296,124.98
  5. Step 5: Solve for x
    x = 296,124.98/443.64
  6. Step 6: Final answer
    x = 667.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.