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Finding the Fourth Proportional to 604.09, 834.12 and 463.99

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Solution

The fourth proportional to 604.09, 834.12 and 463.99 is: 640.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.09 : 834.12 = 463.99 : x
  2. Step 2: Convert to fraction form
    604.09/834.12 = 463.99/x
  3. Step 3: Cross multiply
    604.09x = 834.12 × 463.99
  4. Step 4: Simplify right side
    604.09x = 387,019.51
  5. Step 5: Solve for x
    x = 387,019.51/604.09
  6. Step 6: Final answer
    x = 640.66

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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.