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Finding the Fourth Proportional to 681.40, 968.02 and 681.40

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Solution

The fourth proportional to 681.40, 968.02 and 681.40 is: 968.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.40 : 968.02 = 681.40 : x
  2. Step 2: Convert to fraction form
    681.40/968.02 = 681.40/x
  3. Step 3: Cross multiply
    681.40x = 968.02 × 681.40
  4. Step 4: Simplify right side
    681.40x = 659,608.83
  5. Step 5: Solve for x
    x = 659,608.83/681.40
  6. Step 6: Final answer
    x = 968.02

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.