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Finding the Fourth Proportional to 604.98, 834.75 and 356.31

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Solution

The fourth proportional to 604.98, 834.75 and 356.31 is: 491.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.98 : 834.75 = 356.31 : x
  2. Step 2: Convert to fraction form
    604.98/834.75 = 356.31/x
  3. Step 3: Cross multiply
    604.98x = 834.75 × 356.31
  4. Step 4: Simplify right side
    604.98x = 297,429.77
  5. Step 5: Solve for x
    x = 297,429.77/604.98
  6. Step 6: Final answer
    x = 491.64

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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.