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Finding the Fourth Proportional to 911.03, 1,257.81 and 700.82

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Solution

The fourth proportional to 911.03, 1,257.81 and 700.82 is: 967.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.03 : 1,257.81 = 700.82 : x
  2. Step 2: Convert to fraction form
    911.03/1,257.81 = 700.82/x
  3. Step 3: Cross multiply
    911.03x = 1,257.81 × 700.82
  4. Step 4: Simplify right side
    911.03x = 881,498.40
  5. Step 5: Solve for x
    x = 881,498.40/911.03
  6. Step 6: Final answer
    x = 967.58

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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.