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Finding the Fourth Proportional to 604.98, 906.74 and 421.38

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Solution

The fourth proportional to 604.98, 906.74 and 421.38 is: 631.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.98 : 906.74 = 421.38 : x
  2. Step 2: Convert to fraction form
    604.98/906.74 = 421.38/x
  3. Step 3: Cross multiply
    604.98x = 906.74 × 421.38
  4. Step 4: Simplify right side
    604.98x = 382,082.10
  5. Step 5: Solve for x
    x = 382,082.10/604.98
  6. Step 6: Final answer
    x = 631.56

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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.