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Finding the Fourth Proportional to 1,378, 1,901.64 and 912.25

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Solution

The fourth proportional to 1,378, 1,901.64 and 912.25 is: 1,258.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,378 : 1,901.64 = 912.25 : x
  2. Step 2: Convert to fraction form
    1,378/1,901.64 = 912.25/x
  3. Step 3: Cross multiply
    1,378x = 1,901.64 × 912.25
  4. Step 4: Simplify right side
    1,378x = 1,734,771.09
  5. Step 5: Solve for x
    x = 1,734,771.09/1,378
  6. Step 6: Final answer
    x = 1,258.91

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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.