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Finding the Fourth Proportional to 968.13, 1,334.01 and 746.40

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Solution

The fourth proportional to 968.13, 1,334.01 and 746.40 is: 1,028.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.13 : 1,334.01 = 746.40 : x
  2. Step 2: Convert to fraction form
    968.13/1,334.01 = 746.40/x
  3. Step 3: Cross multiply
    968.13x = 1,334.01 × 746.40
  4. Step 4: Simplify right side
    968.13x = 995,705.06
  5. Step 5: Solve for x
    x = 995,705.06/968.13
  6. Step 6: Final answer
    x = 1,028.48

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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.