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Finding the Fourth Proportional to 2,255.54, 3,383.55 and 870.08

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Solution

The fourth proportional to 2,255.54, 3,383.55 and 870.08 is: 1,305.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,255.54 : 3,383.55 = 870.08 : x
  2. Step 2: Convert to fraction form
    2,255.54/3,383.55 = 870.08/x
  3. Step 3: Cross multiply
    2,255.54x = 3,383.55 × 870.08
  4. Step 4: Simplify right side
    2,255.54x = 2,943,942.27
  5. Step 5: Solve for x
    x = 2,943,942.27/2,255.54
  6. Step 6: Final answer
    x = 1,305.21

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1.5x scale

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.