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Finding the Fourth Proportional to 863.49, 1,189.98 and 601.05

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Solution

The fourth proportional to 863.49, 1,189.98 and 601.05 is: 828.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.49 : 1,189.98 = 601.05 : x
  2. Step 2: Convert to fraction form
    863.49/1,189.98 = 601.05/x
  3. Step 3: Cross multiply
    863.49x = 1,189.98 × 601.05
  4. Step 4: Simplify right side
    863.49x = 715,237.48
  5. Step 5: Solve for x
    x = 715,237.48/863.49
  6. Step 6: Final answer
    x = 828.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.