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Finding the Fourth Proportional to 1,261.98, 1,742.07 and 848.22

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Solution

The fourth proportional to 1,261.98, 1,742.07 and 848.22 is: 1,170.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,261.98 : 1,742.07 = 848.22 : x
  2. Step 2: Convert to fraction form
    1,261.98/1,742.07 = 848.22/x
  3. Step 3: Cross multiply
    1,261.98x = 1,742.07 × 848.22
  4. Step 4: Simplify right side
    1,261.98x = 1,477,658.62
  5. Step 5: Solve for x
    x = 1,477,658.62/1,261.98
  6. Step 6: Final answer
    x = 1,170.90

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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.