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Finding the Fourth Proportional to 604.20, 833.65 and 383.43

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Solution

The fourth proportional to 604.20, 833.65 and 383.43 is: 529.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.20 : 833.65 = 383.43 : x
  2. Step 2: Convert to fraction form
    604.20/833.65 = 383.43/x
  3. Step 3: Cross multiply
    604.20x = 833.65 × 383.43
  4. Step 4: Simplify right side
    604.20x = 319,646.42
  5. Step 5: Solve for x
    x = 319,646.42/604.20
  6. Step 6: Final answer
    x = 529.04

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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.