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Finding the Fourth Proportional to 608.94, 840.72 and 422.64

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Solution

The fourth proportional to 608.94, 840.72 and 422.64 is: 583.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.94 : 840.72 = 422.64 : x
  2. Step 2: Convert to fraction form
    608.94/840.72 = 422.64/x
  3. Step 3: Cross multiply
    608.94x = 840.72 × 422.64
  4. Step 4: Simplify right side
    608.94x = 355,321.90
  5. Step 5: Solve for x
    x = 355,321.90/608.94
  6. Step 6: Final answer
    x = 583.51

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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.