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Finding the Fourth Proportional to 1,234.52, 1,844.55 and 1,191.48

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Solution

The fourth proportional to 1,234.52, 1,844.55 and 1,191.48 is: 1,780.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,234.52 : 1,844.55 = 1,191.48 : x
  2. Step 2: Convert to fraction form
    1,234.52/1,844.55 = 1,191.48/x
  3. Step 3: Cross multiply
    1,234.52x = 1,844.55 × 1,191.48
  4. Step 4: Simplify right side
    1,234.52x = 2,197,744.43
  5. Step 5: Solve for x
    x = 2,197,744.43/1,234.52
  6. Step 6: Final answer
    x = 1,780.25

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1.5x scale

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.