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Finding the Fourth Proportional to 842.80, 1,120.06 and 842.80

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Solution

The fourth proportional to 842.80, 1,120.06 and 842.80 is: 1,120.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.80 : 1,120.06 = 842.80 : x
  2. Step 2: Convert to fraction form
    842.80/1,120.06 = 842.80/x
  3. Step 3: Cross multiply
    842.80x = 1,120.06 × 842.80
  4. Step 4: Simplify right side
    842.80x = 943,986.57
  5. Step 5: Solve for x
    x = 943,986.57/842.80
  6. Step 6: Final answer
    x = 1,120.06

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.