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Finding the Fourth Proportional to 608.56, 839.72 and 422.01

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Solution

The fourth proportional to 608.56, 839.72 and 422.01 is: 582.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.56 : 839.72 = 422.01 : x
  2. Step 2: Convert to fraction form
    608.56/839.72 = 422.01/x
  3. Step 3: Cross multiply
    608.56x = 839.72 × 422.01
  4. Step 4: Simplify right side
    608.56x = 354,368.92
  5. Step 5: Solve for x
    x = 354,368.92/608.56
  6. Step 6: Final answer
    x = 582.30

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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.