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Finding the Fourth Proportional to 984.96, 1,352.70 and 837.54

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Solution

The fourth proportional to 984.96, 1,352.70 and 837.54 is: 1,150.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.96 : 1,352.70 = 837.54 : x
  2. Step 2: Convert to fraction form
    984.96/1,352.70 = 837.54/x
  3. Step 3: Cross multiply
    984.96x = 1,352.70 × 837.54
  4. Step 4: Simplify right side
    984.96x = 1,132,940.36
  5. Step 5: Solve for x
    x = 1,132,940.36/984.96
  6. Step 6: Final answer
    x = 1,150.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.