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Finding the Fourth Proportional to 1,197.90, 1,796.85 and 650.34

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Solution

The fourth proportional to 1,197.90, 1,796.85 and 650.34 is: 975.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197.90 : 1,796.85 = 650.34 : x
  2. Step 2: Convert to fraction form
    1,197.90/1,796.85 = 650.34/x
  3. Step 3: Cross multiply
    1,197.90x = 1,796.85 × 650.34
  4. Step 4: Simplify right side
    1,197.90x = 1,168,563.43
  5. Step 5: Solve for x
    x = 1,168,563.43/1,197.90
  6. Step 6: Final answer
    x = 975.51

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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.