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Finding the Fourth Proportional to 968.21, 1,336.26 and 614.31

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Solution

The fourth proportional to 968.21, 1,336.26 and 614.31 is: 847.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.21 : 1,336.26 = 614.31 : x
  2. Step 2: Convert to fraction form
    968.21/1,336.26 = 614.31/x
  3. Step 3: Cross multiply
    968.21x = 1,336.26 × 614.31
  4. Step 4: Simplify right side
    968.21x = 820,877.88
  5. Step 5: Solve for x
    x = 820,877.88/968.21
  6. Step 6: Final answer
    x = 847.83

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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.