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Finding the Fourth Proportional to 1,470.77, 2,028.96 and 911.03

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Solution

The fourth proportional to 1,470.77, 2,028.96 and 911.03 is: 1,256.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,470.77 : 2,028.96 = 911.03 : x
  2. Step 2: Convert to fraction form
    1,470.77/2,028.96 = 911.03/x
  3. Step 3: Cross multiply
    1,470.77x = 2,028.96 × 911.03
  4. Step 4: Simplify right side
    1,470.77x = 1,848,433.28
  5. Step 5: Solve for x
    x = 1,848,433.28/1,470.77
  6. Step 6: Final answer
    x = 1,256.78

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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.