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Finding the Fourth Proportional to 608.34, 839.25 and 398.45

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Solution

The fourth proportional to 608.34, 839.25 and 398.45 is: 549.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.34 : 839.25 = 398.45 : x
  2. Step 2: Convert to fraction form
    608.34/839.25 = 398.45/x
  3. Step 3: Cross multiply
    608.34x = 839.25 × 398.45
  4. Step 4: Simplify right side
    608.34x = 334,394.97
  5. Step 5: Solve for x
    x = 334,394.97/608.34
  6. Step 6: Final answer
    x = 549.68

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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.