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Finding the Fourth Proportional to 863.96, 1,296 and 431

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Solution

The fourth proportional to 863.96, 1,296 and 431 is: 646.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.96 : 1,296 = 431 : x
  2. Step 2: Convert to fraction form
    863.96/1,296 = 431/x
  3. Step 3: Cross multiply
    863.96x = 1,296 × 431
  4. Step 4: Simplify right side
    863.96x = 558,576
  5. Step 5: Solve for x
    x = 558,576/863.96
  6. Step 6: Final answer
    x = 646.53

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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.