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Finding the Fourth Proportional to 863.57, 1,190.01 and 614.45

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Solution

The fourth proportional to 863.57, 1,190.01 and 614.45 is: 846.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.57 : 1,190.01 = 614.45 : x
  2. Step 2: Convert to fraction form
    863.57/1,190.01 = 614.45/x
  3. Step 3: Cross multiply
    863.57x = 1,190.01 × 614.45
  4. Step 4: Simplify right side
    863.57x = 731,201.64
  5. Step 5: Solve for x
    x = 731,201.64/863.57
  6. Step 6: Final answer
    x = 846.72

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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.