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Finding the Fourth Proportional to 1,040.33, 1,549.16 and 1,028.82

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Solution

The fourth proportional to 1,040.33, 1,549.16 and 1,028.82 is: 1,532.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,040.33 : 1,549.16 = 1,028.82 : x
  2. Step 2: Convert to fraction form
    1,040.33/1,549.16 = 1,028.82/x
  3. Step 3: Cross multiply
    1,040.33x = 1,549.16 × 1,028.82
  4. Step 4: Simplify right side
    1,040.33x = 1,593,806.79
  5. Step 5: Solve for x
    x = 1,593,806.79/1,040.33
  6. Step 6: Final answer
    x = 1,532.03

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.