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Finding the Fourth Proportional to 604.42, 834.06 and 342.40

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Solution

The fourth proportional to 604.42, 834.06 and 342.40 is: 472.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.42 : 834.06 = 342.40 : x
  2. Step 2: Convert to fraction form
    604.42/834.06 = 342.40/x
  3. Step 3: Cross multiply
    604.42x = 834.06 × 342.40
  4. Step 4: Simplify right side
    604.42x = 285,582.14
  5. Step 5: Solve for x
    x = 285,582.14/604.42
  6. Step 6: Final answer
    x = 472.49

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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.