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Finding the Fourth Proportional to 608.91, 840.63 and 422.56

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Solution

The fourth proportional to 608.91, 840.63 and 422.56 is: 583.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.91 : 840.63 = 422.56 : x
  2. Step 2: Convert to fraction form
    608.91/840.63 = 422.56/x
  3. Step 3: Cross multiply
    608.91x = 840.63 × 422.56
  4. Step 4: Simplify right side
    608.91x = 355,216.61
  5. Step 5: Solve for x
    x = 355,216.61/608.91
  6. Step 6: Final answer
    x = 583.36

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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.