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Finding the Fourth Proportional to 604.36, 833.50 and 464.12

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Solution

The fourth proportional to 604.36, 833.50 and 464.12 is: 640.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.36 : 833.50 = 464.12 : x
  2. Step 2: Convert to fraction form
    604.36/833.50 = 464.12/x
  3. Step 3: Cross multiply
    604.36x = 833.50 × 464.12
  4. Step 4: Simplify right side
    604.36x = 386,844.02
  5. Step 5: Solve for x
    x = 386,844.02/604.36
  6. Step 6: Final answer
    x = 640.09

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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.