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Finding the Fourth Proportional to 863.25, 1,293.71 and 472.66

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Solution

The fourth proportional to 863.25, 1,293.71 and 472.66 is: 708.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.25 : 1,293.71 = 472.66 : x
  2. Step 2: Convert to fraction form
    863.25/1,293.71 = 472.66/x
  3. Step 3: Cross multiply
    863.25x = 1,293.71 × 472.66
  4. Step 4: Simplify right side
    863.25x = 611,485.99
  5. Step 5: Solve for x
    x = 611,485.99/863.25
  6. Step 6: Final answer
    x = 708.35

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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.