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Finding the Fourth Proportional to 1,384.68, 1,910.25 and 911.97

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Solution

The fourth proportional to 1,384.68, 1,910.25 and 911.97 is: 1,258.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384.68 : 1,910.25 = 911.97 : x
  2. Step 2: Convert to fraction form
    1,384.68/1,910.25 = 911.97/x
  3. Step 3: Cross multiply
    1,384.68x = 1,910.25 × 911.97
  4. Step 4: Simplify right side
    1,384.68x = 1,742,090.69
  5. Step 5: Solve for x
    x = 1,742,090.69/1,384.68
  6. Step 6: Final answer
    x = 1,258.12

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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.