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Finding the Fourth Proportional to 968.48, 1,335.12 and 692

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Solution

The fourth proportional to 968.48, 1,335.12 and 692 is: 953.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.48 : 1,335.12 = 692 : x
  2. Step 2: Convert to fraction form
    968.48/1,335.12 = 692/x
  3. Step 3: Cross multiply
    968.48x = 1,335.12 × 692
  4. Step 4: Simplify right side
    968.48x = 923,903.04
  5. Step 5: Solve for x
    x = 923,903.04/968.48
  6. Step 6: Final answer
    x = 953.97

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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.