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Finding the Fourth Proportional to 1,638.35, 2,457.66 and 468.35

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Solution

The fourth proportional to 1,638.35, 2,457.66 and 468.35 is: 702.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,638.35 : 2,457.66 = 468.35 : x
  2. Step 2: Convert to fraction form
    1,638.35/2,457.66 = 468.35/x
  3. Step 3: Cross multiply
    1,638.35x = 2,457.66 × 468.35
  4. Step 4: Simplify right side
    1,638.35x = 1,151,042.72
  5. Step 5: Solve for x
    x = 1,151,042.72/1,638.35
  6. Step 6: Final answer
    x = 702.56

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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.