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Finding the Fourth Proportional to 604.56, 833.78 and 464.63

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Solution

The fourth proportional to 604.56, 833.78 and 464.63 is: 640.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.56 : 833.78 = 464.63 : x
  2. Step 2: Convert to fraction form
    604.56/833.78 = 464.63/x
  3. Step 3: Cross multiply
    604.56x = 833.78 × 464.63
  4. Step 4: Simplify right side
    604.56x = 387,399.20
  5. Step 5: Solve for x
    x = 387,399.20/604.56
  6. Step 6: Final answer
    x = 640.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.