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Finding the Fourth Proportional to 431.94, 644.49 and 427.80

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Solution

The fourth proportional to 431.94, 644.49 and 427.80 is: 638.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.94 : 644.49 = 427.80 : x
  2. Step 2: Convert to fraction form
    431.94/644.49 = 427.80/x
  3. Step 3: Cross multiply
    431.94x = 644.49 × 427.80
  4. Step 4: Simplify right side
    431.94x = 275,712.82
  5. Step 5: Solve for x
    x = 275,712.82/431.94
  6. Step 6: Final answer
    x = 638.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.