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Finding the Fourth Proportional to 1,235.23, 1,853.22 and 741.55

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Solution

The fourth proportional to 1,235.23, 1,853.22 and 741.55 is: 1,112.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,235.23 : 1,853.22 = 741.55 : x
  2. Step 2: Convert to fraction form
    1,235.23/1,853.22 = 741.55/x
  3. Step 3: Cross multiply
    1,235.23x = 1,853.22 × 741.55
  4. Step 4: Simplify right side
    1,235.23x = 1,374,255.29
  5. Step 5: Solve for x
    x = 1,374,255.29/1,235.23
  6. Step 6: Final answer
    x = 1,112.55

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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.