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Finding the Fourth Proportional to 968.07, 1,334.48 and 827.13

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Solution

The fourth proportional to 968.07, 1,334.48 and 827.13 is: 1,140.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.07 : 1,334.48 = 827.13 : x
  2. Step 2: Convert to fraction form
    968.07/1,334.48 = 827.13/x
  3. Step 3: Cross multiply
    968.07x = 1,334.48 × 827.13
  4. Step 4: Simplify right side
    968.07x = 1,103,784.31
  5. Step 5: Solve for x
    x = 1,103,784.31/968.07
  6. Step 6: Final answer
    x = 1,140.19

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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.