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Finding the Fourth Proportional to 1,788.50, 2,682.98 and 634.26

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Solution

The fourth proportional to 1,788.50, 2,682.98 and 634.26 is: 951.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,788.50 : 2,682.98 = 634.26 : x
  2. Step 2: Convert to fraction form
    1,788.50/2,682.98 = 634.26/x
  3. Step 3: Cross multiply
    1,788.50x = 2,682.98 × 634.26
  4. Step 4: Simplify right side
    1,788.50x = 1,701,706.89
  5. Step 5: Solve for x
    x = 1,701,706.89/1,788.50
  6. Step 6: Final answer
    x = 951.47

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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.