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Finding the Fourth Proportional to 1,638.85, 2,458.41 and 468.85

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Solution

The fourth proportional to 1,638.85, 2,458.41 and 468.85 is: 703.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,638.85 : 2,458.41 = 468.85 : x
  2. Step 2: Convert to fraction form
    1,638.85/2,458.41 = 468.85/x
  3. Step 3: Cross multiply
    1,638.85x = 2,458.41 × 468.85
  4. Step 4: Simplify right side
    1,638.85x = 1,152,623.18
  5. Step 5: Solve for x
    x = 1,152,623.18/1,638.85
  6. Step 6: Final answer
    x = 703.31

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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.