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Finding the Fourth Proportional to 842.64, 1,258.08 and 726.96

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Solution

The fourth proportional to 842.64, 1,258.08 and 726.96 is: 1,085.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.64 : 1,258.08 = 726.96 : x
  2. Step 2: Convert to fraction form
    842.64/1,258.08 = 726.96/x
  3. Step 3: Cross multiply
    842.64x = 1,258.08 × 726.96
  4. Step 4: Simplify right side
    842.64x = 914,573.84
  5. Step 5: Solve for x
    x = 914,573.84/842.64
  6. Step 6: Final answer
    x = 1,085.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.