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Finding the Fourth Proportional to 1,638.26, 2,457.44 and 468.37

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Solution

The fourth proportional to 1,638.26, 2,457.44 and 468.37 is: 702.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,638.26 : 2,457.44 = 468.37 : x
  2. Step 2: Convert to fraction form
    1,638.26/2,457.44 = 468.37/x
  3. Step 3: Cross multiply
    1,638.26x = 2,457.44 × 468.37
  4. Step 4: Simplify right side
    1,638.26x = 1,150,990.20
  5. Step 5: Solve for x
    x = 1,150,990.20/1,638.26
  6. Step 6: Final answer
    x = 702.57

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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.