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Finding the Fourth Proportional to 604.63, 908.16 and 565.75

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Solution

The fourth proportional to 604.63, 908.16 and 565.75 is: 849.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.63 : 908.16 = 565.75 : x
  2. Step 2: Convert to fraction form
    604.63/908.16 = 565.75/x
  3. Step 3: Cross multiply
    604.63x = 908.16 × 565.75
  4. Step 4: Simplify right side
    604.63x = 513,791.52
  5. Step 5: Solve for x
    x = 513,791.52/604.63
  6. Step 6: Final answer
    x = 849.76

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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.