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Finding the Fourth Proportional to 436.85, 602.91 and 422.43

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Solution

The fourth proportional to 436.85, 602.91 and 422.43 is: 583.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.85 : 602.91 = 422.43 : x
  2. Step 2: Convert to fraction form
    436.85/602.91 = 422.43/x
  3. Step 3: Cross multiply
    436.85x = 602.91 × 422.43
  4. Step 4: Simplify right side
    436.85x = 254,687.27
  5. Step 5: Solve for x
    x = 254,687.27/436.85
  6. Step 6: Final answer
    x = 583.02

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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.