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Finding the Fourth Proportional to 1,683.69, 2,323.11 and 1,020.41

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Solution

The fourth proportional to 1,683.69, 2,323.11 and 1,020.41 is: 1,407.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,683.69 : 2,323.11 = 1,020.41 : x
  2. Step 2: Convert to fraction form
    1,683.69/2,323.11 = 1,020.41/x
  3. Step 3: Cross multiply
    1,683.69x = 2,323.11 × 1,020.41
  4. Step 4: Simplify right side
    1,683.69x = 2,370,507.96
  5. Step 5: Solve for x
    x = 2,370,507.96/1,683.69
  6. Step 6: Final answer
    x = 1,407.92

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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.