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Finding the Fourth Proportional to 604.02, 833.49 and 342.04

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Solution

The fourth proportional to 604.02, 833.49 and 342.04 is: 471.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.02 : 833.49 = 342.04 : x
  2. Step 2: Convert to fraction form
    604.02/833.49 = 342.04/x
  3. Step 3: Cross multiply
    604.02x = 833.49 × 342.04
  4. Step 4: Simplify right side
    604.02x = 285,086.12
  5. Step 5: Solve for x
    x = 285,086.12/604.02
  6. Step 6: Final answer
    x = 471.98

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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.