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Finding the Fourth Proportional to 433.82, 646.71 and 427.16

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Solution

The fourth proportional to 433.82, 646.71 and 427.16 is: 636.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.82 : 646.71 = 427.16 : x
  2. Step 2: Convert to fraction form
    433.82/646.71 = 427.16/x
  3. Step 3: Cross multiply
    433.82x = 646.71 × 427.16
  4. Step 4: Simplify right side
    433.82x = 276,243.27
  5. Step 5: Solve for x
    x = 276,243.27/433.82
  6. Step 6: Final answer
    x = 636.78

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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.