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Finding the Fourth Proportional to 604.18, 908.16 and 442.63

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Solution

The fourth proportional to 604.18, 908.16 and 442.63 is: 665.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.18 : 908.16 = 442.63 : x
  2. Step 2: Convert to fraction form
    604.18/908.16 = 442.63/x
  3. Step 3: Cross multiply
    604.18x = 908.16 × 442.63
  4. Step 4: Simplify right side
    604.18x = 401,978.86
  5. Step 5: Solve for x
    x = 401,978.86/604.18
  6. Step 6: Final answer
    x = 665.33

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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.