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Finding the Fourth Proportional to 842.98, 1,261.74 and 726.34

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Solution

The fourth proportional to 842.98, 1,261.74 and 726.34 is: 1,087.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.98 : 1,261.74 = 726.34 : x
  2. Step 2: Convert to fraction form
    842.98/1,261.74 = 726.34/x
  3. Step 3: Cross multiply
    842.98x = 1,261.74 × 726.34
  4. Step 4: Simplify right side
    842.98x = 916,452.23
  5. Step 5: Solve for x
    x = 916,452.23/842.98
  6. Step 6: Final answer
    x = 1,087.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.