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Finding the Fourth Proportional to 1,040.59, 1,556.97 and 984.97

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Solution

The fourth proportional to 1,040.59, 1,556.97 and 984.97 is: 1,473.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,040.59 : 1,556.97 = 984.97 : x
  2. Step 2: Convert to fraction form
    1,040.59/1,556.97 = 984.97/x
  3. Step 3: Cross multiply
    1,040.59x = 1,556.97 × 984.97
  4. Step 4: Simplify right side
    1,040.59x = 1,533,568.74
  5. Step 5: Solve for x
    x = 1,533,568.74/1,040.59
  6. Step 6: Final answer
    x = 1,473.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.