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Finding the Fourth Proportional to 682.87, 1,029.30 and 624.44

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Solution

The fourth proportional to 682.87, 1,029.30 and 624.44 is: 941.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.87 : 1,029.30 = 624.44 : x
  2. Step 2: Convert to fraction form
    682.87/1,029.30 = 624.44/x
  3. Step 3: Cross multiply
    682.87x = 1,029.30 × 624.44
  4. Step 4: Simplify right side
    682.87x = 642,736.09
  5. Step 5: Solve for x
    x = 642,736.09/682.87
  6. Step 6: Final answer
    x = 941.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.