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Finding the Fourth Proportional to 1,342.22, 1,852.14 and 744.71

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Solution

The fourth proportional to 1,342.22, 1,852.14 and 744.71 is: 1,027.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,342.22 : 1,852.14 = 744.71 : x
  2. Step 2: Convert to fraction form
    1,342.22/1,852.14 = 744.71/x
  3. Step 3: Cross multiply
    1,342.22x = 1,852.14 × 744.71
  4. Step 4: Simplify right side
    1,342.22x = 1,379,294.20
  5. Step 5: Solve for x
    x = 1,379,294.20/1,342.22
  6. Step 6: Final answer
    x = 1,027.63

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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.