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Finding the Fourth Proportional to 433.63, 650.82 and 286.97

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Solution

The fourth proportional to 433.63, 650.82 and 286.97 is: 430.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.63 : 650.82 = 286.97 : x
  2. Step 2: Convert to fraction form
    433.63/650.82 = 286.97/x
  3. Step 3: Cross multiply
    433.63x = 650.82 × 286.97
  4. Step 4: Simplify right side
    433.63x = 186,765.82
  5. Step 5: Solve for x
    x = 186,765.82/433.63
  6. Step 6: Final answer
    x = 430.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.