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Finding the Fourth Proportional to 863.98, 1,293.94 and 604.24

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Solution

The fourth proportional to 863.98, 1,293.94 and 604.24 is: 904.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.98 : 1,293.94 = 604.24 : x
  2. Step 2: Convert to fraction form
    863.98/1,293.94 = 604.24/x
  3. Step 3: Cross multiply
    863.98x = 1,293.94 × 604.24
  4. Step 4: Simplify right side
    863.98x = 781,850.31
  5. Step 5: Solve for x
    x = 781,850.31/863.98
  6. Step 6: Final answer
    x = 904.94

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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.