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Finding the Fourth Proportional to 968.52, 1,333.20 and 842.40

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Solution

The fourth proportional to 968.52, 1,333.20 and 842.40 is: 1,159.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.52 : 1,333.20 = 842.40 : x
  2. Step 2: Convert to fraction form
    968.52/1,333.20 = 842.40/x
  3. Step 3: Cross multiply
    968.52x = 1,333.20 × 842.40
  4. Step 4: Simplify right side
    968.52x = 1,123,087.68
  5. Step 5: Solve for x
    x = 1,123,087.68/968.52
  6. Step 6: Final answer
    x = 1,159.59

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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.