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Finding the Fourth Proportional to 863.95, 1,295.73 and 431.01

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Solution

The fourth proportional to 863.95, 1,295.73 and 431.01 is: 646.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.95 : 1,295.73 = 431.01 : x
  2. Step 2: Convert to fraction form
    863.95/1,295.73 = 431.01/x
  3. Step 3: Cross multiply
    863.95x = 1,295.73 × 431.01
  4. Step 4: Simplify right side
    863.95x = 558,472.59
  5. Step 5: Solve for x
    x = 558,472.59/863.95
  6. Step 6: Final answer
    x = 646.42

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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.