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Finding the Fourth Proportional to 432.14, 643.87 and 427.82

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Solution

The fourth proportional to 432.14, 643.87 and 427.82 is: 637.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.14 : 643.87 = 427.82 : x
  2. Step 2: Convert to fraction form
    432.14/643.87 = 427.82/x
  3. Step 3: Cross multiply
    432.14x = 643.87 × 427.82
  4. Step 4: Simplify right side
    432.14x = 275,460.46
  5. Step 5: Solve for x
    x = 275,460.46/432.14
  6. Step 6: Final answer
    x = 637.43

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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.