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Finding the Fourth Proportional to 2,197.40, 3,295.55 and 637.07

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Solution

The fourth proportional to 2,197.40, 3,295.55 and 637.07 is: 955.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,197.40 : 3,295.55 = 637.07 : x
  2. Step 2: Convert to fraction form
    2,197.40/3,295.55 = 637.07/x
  3. Step 3: Cross multiply
    2,197.40x = 3,295.55 × 637.07
  4. Step 4: Simplify right side
    2,197.40x = 2,099,481.15
  5. Step 5: Solve for x
    x = 2,099,481.15/2,197.40
  6. Step 6: Final answer
    x = 955.44

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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.