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Finding the Fourth Proportional to 608.35, 839.64 and 356.43

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Solution

The fourth proportional to 608.35, 839.64 and 356.43 is: 491.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.35 : 839.64 = 356.43 : x
  2. Step 2: Convert to fraction form
    608.35/839.64 = 356.43/x
  3. Step 3: Cross multiply
    608.35x = 839.64 × 356.43
  4. Step 4: Simplify right side
    608.35x = 299,272.89
  5. Step 5: Solve for x
    x = 299,272.89/608.35
  6. Step 6: Final answer
    x = 491.94

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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.