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Finding the Fourth Proportional to 604.60, 834.36 and 355.83

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Solution

The fourth proportional to 604.60, 834.36 and 355.83 is: 491.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.60 : 834.36 = 355.83 : x
  2. Step 2: Convert to fraction form
    604.60/834.36 = 355.83/x
  3. Step 3: Cross multiply
    604.60x = 834.36 × 355.83
  4. Step 4: Simplify right side
    604.60x = 296,885.86
  5. Step 5: Solve for x
    x = 296,885.86/604.60
  6. Step 6: Final answer
    x = 491.05

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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.