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Finding the Fourth Proportional to 968.96, 1,447.27 and 839.36

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Solution

The fourth proportional to 968.96, 1,447.27 and 839.36 is: 1,253.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.96 : 1,447.27 = 839.36 : x
  2. Step 2: Convert to fraction form
    968.96/1,447.27 = 839.36/x
  3. Step 3: Cross multiply
    968.96x = 1,447.27 × 839.36
  4. Step 4: Simplify right side
    968.96x = 1,214,782.07
  5. Step 5: Solve for x
    x = 1,214,782.07/968.96
  6. Step 6: Final answer
    x = 1,253.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.