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Finding the Fourth Proportional to 1,432.44, 1,975.86 and 1,263.96

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Solution

The fourth proportional to 1,432.44, 1,975.86 and 1,263.96 is: 1,743.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,432.44 : 1,975.86 = 1,263.96 : x
  2. Step 2: Convert to fraction form
    1,432.44/1,975.86 = 1,263.96/x
  3. Step 3: Cross multiply
    1,432.44x = 1,975.86 × 1,263.96
  4. Step 4: Simplify right side
    1,432.44x = 2,497,408.01
  5. Step 5: Solve for x
    x = 2,497,408.01/1,432.44
  6. Step 6: Final answer
    x = 1,743.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.