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Finding the Fourth Proportional to 608.36, 839.22 and 442.30

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Solution

The fourth proportional to 608.36, 839.22 and 442.30 is: 610.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.36 : 839.22 = 442.30 : x
  2. Step 2: Convert to fraction form
    608.36/839.22 = 442.30/x
  3. Step 3: Cross multiply
    608.36x = 839.22 × 442.30
  4. Step 4: Simplify right side
    608.36x = 371,187.01
  5. Step 5: Solve for x
    x = 371,187.01/608.36
  6. Step 6: Final answer
    x = 610.14

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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.