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Finding the Fourth Proportional to 968.64, 1,334.46 and 688.43

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Solution

The fourth proportional to 968.64, 1,334.46 and 688.43 is: 948.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.64 : 1,334.46 = 688.43 : x
  2. Step 2: Convert to fraction form
    968.64/1,334.46 = 688.43/x
  3. Step 3: Cross multiply
    968.64x = 1,334.46 × 688.43
  4. Step 4: Simplify right side
    968.64x = 918,675.63
  5. Step 5: Solve for x
    x = 918,675.63/968.64
  6. Step 6: Final answer
    x = 948.42

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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.