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Finding the Fourth Proportional to 1,321.97, 1,823.91 and 762.37

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Solution

The fourth proportional to 1,321.97, 1,823.91 and 762.37 is: 1,051.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,321.97 : 1,823.91 = 762.37 : x
  2. Step 2: Convert to fraction form
    1,321.97/1,823.91 = 762.37/x
  3. Step 3: Cross multiply
    1,321.97x = 1,823.91 × 762.37
  4. Step 4: Simplify right side
    1,321.97x = 1,390,489.71
  5. Step 5: Solve for x
    x = 1,390,489.71/1,321.97
  6. Step 6: Final answer
    x = 1,051.83

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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.