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Finding the Fourth Proportional to 968.68, 1,335.44 and 828.18

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Solution

The fourth proportional to 968.68, 1,335.44 and 828.18 is: 1,141.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.68 : 1,335.44 = 828.18 : x
  2. Step 2: Convert to fraction form
    968.68/1,335.44 = 828.18/x
  3. Step 3: Cross multiply
    968.68x = 1,335.44 × 828.18
  4. Step 4: Simplify right side
    968.68x = 1,105,984.70
  5. Step 5: Solve for x
    x = 1,105,984.70/968.68
  6. Step 6: Final answer
    x = 1,141.74

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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.