Home / 1,638.23-2,456.96-468.21

Finding the Fourth Proportional to 1,638.23, 2,456.96 and 468.21

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Solution

The fourth proportional to 1,638.23, 2,456.96 and 468.21 is: 702.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,638.23 : 2,456.96 = 468.21 : x
  2. Step 2: Convert to fraction form
    1,638.23/2,456.96 = 468.21/x
  3. Step 3: Cross multiply
    1,638.23x = 2,456.96 × 468.21
  4. Step 4: Simplify right side
    1,638.23x = 1,150,370.90
  5. Step 5: Solve for x
    x = 1,150,370.90/1,638.23
  6. Step 6: Final answer
    x = 702.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.