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Finding the Fourth Proportional to 1,420.28, 1,958.15 and 1,040.97

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Solution

The fourth proportional to 1,420.28, 1,958.15 and 1,040.97 is: 1,435.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,420.28 : 1,958.15 = 1,040.97 : x
  2. Step 2: Convert to fraction form
    1,420.28/1,958.15 = 1,040.97/x
  3. Step 3: Cross multiply
    1,420.28x = 1,958.15 × 1,040.97
  4. Step 4: Simplify right side
    1,420.28x = 2,038,378.01
  5. Step 5: Solve for x
    x = 2,038,378.01/1,420.28
  6. Step 6: Final answer
    x = 1,435.20

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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.