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Finding the Fourth Proportional to 1,329.21, 1,833.99 and 762.11

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Solution

The fourth proportional to 1,329.21, 1,833.99 and 762.11 is: 1,051.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,329.21 : 1,833.99 = 762.11 : x
  2. Step 2: Convert to fraction form
    1,329.21/1,833.99 = 762.11/x
  3. Step 3: Cross multiply
    1,329.21x = 1,833.99 × 762.11
  4. Step 4: Simplify right side
    1,329.21x = 1,397,701.26
  5. Step 5: Solve for x
    x = 1,397,701.26/1,329.21
  6. Step 6: Final answer
    x = 1,051.53

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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.