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Finding the Fourth Proportional to 604.54, 836.31 and 490.78

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Solution

The fourth proportional to 604.54, 836.31 and 490.78 is: 678.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.54 : 836.31 = 490.78 : x
  2. Step 2: Convert to fraction form
    604.54/836.31 = 490.78/x
  3. Step 3: Cross multiply
    604.54x = 836.31 × 490.78
  4. Step 4: Simplify right side
    604.54x = 410,444.22
  5. Step 5: Solve for x
    x = 410,444.22/604.54
  6. Step 6: Final answer
    x = 678.94

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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.