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Finding the Fourth Proportional to 604.54, 834.21 and 355.87

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Solution

The fourth proportional to 604.54, 834.21 and 355.87 is: 491.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.54 : 834.21 = 355.87 : x
  2. Step 2: Convert to fraction form
    604.54/834.21 = 355.87/x
  3. Step 3: Cross multiply
    604.54x = 834.21 × 355.87
  4. Step 4: Simplify right side
    604.54x = 296,864.36
  5. Step 5: Solve for x
    x = 296,864.36/604.54
  6. Step 6: Final answer
    x = 491.06

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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.