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Finding the Fourth Proportional to 1,297.83, 1,937.34 and 1,201.48

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Solution

The fourth proportional to 1,297.83, 1,937.34 and 1,201.48 is: 1,793.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.83 : 1,937.34 = 1,201.48 : x
  2. Step 2: Convert to fraction form
    1,297.83/1,937.34 = 1,201.48/x
  3. Step 3: Cross multiply
    1,297.83x = 1,937.34 × 1,201.48
  4. Step 4: Simplify right side
    1,297.83x = 2,327,670.42
  5. Step 5: Solve for x
    x = 2,327,670.42/1,297.83
  6. Step 6: Final answer
    x = 1,793.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.