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Finding the Fourth Proportional to 604.55, 834.13 and 383.42

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Solution

The fourth proportional to 604.55, 834.13 and 383.42 is: 529.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.55 : 834.13 = 383.42 : x
  2. Step 2: Convert to fraction form
    604.55/834.13 = 383.42/x
  3. Step 3: Cross multiply
    604.55x = 834.13 × 383.42
  4. Step 4: Simplify right side
    604.55x = 319,816.04
  5. Step 5: Solve for x
    x = 319,816.04/604.55
  6. Step 6: Final answer
    x = 529.02

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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.