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Finding the Fourth Proportional to 608.48, 839.12 and 412.20

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Solution

The fourth proportional to 608.48, 839.12 and 412.20 is: 568.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.48 : 839.12 = 412.20 : x
  2. Step 2: Convert to fraction form
    608.48/839.12 = 412.20/x
  3. Step 3: Cross multiply
    608.48x = 839.12 × 412.20
  4. Step 4: Simplify right side
    608.48x = 345,885.26
  5. Step 5: Solve for x
    x = 345,885.26/608.48
  6. Step 6: Final answer
    x = 568.44

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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.