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Finding the Fourth Proportional to 608.09, 839.45 and 458.78

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Solution

The fourth proportional to 608.09, 839.45 and 458.78 is: 633.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.09 : 839.45 = 458.78 : x
  2. Step 2: Convert to fraction form
    608.09/839.45 = 458.78/x
  3. Step 3: Cross multiply
    608.09x = 839.45 × 458.78
  4. Step 4: Simplify right side
    608.09x = 385,118.67
  5. Step 5: Solve for x
    x = 385,118.67/608.09
  6. Step 6: Final answer
    x = 633.33

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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.