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Finding the Fourth Proportional to 2,255.55, 3,383.65 and 695.69

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Solution

The fourth proportional to 2,255.55, 3,383.65 and 695.69 is: 1,043.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,255.55 : 3,383.65 = 695.69 : x
  2. Step 2: Convert to fraction form
    2,255.55/3,383.65 = 695.69/x
  3. Step 3: Cross multiply
    2,255.55x = 3,383.65 × 695.69
  4. Step 4: Simplify right side
    2,255.55x = 2,353,971.47
  5. Step 5: Solve for x
    x = 2,353,971.47/2,255.55
  6. Step 6: Final answer
    x = 1,043.64

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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.