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Finding the Fourth Proportional to 998.43, 1,495.85 and 778.29

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Solution

The fourth proportional to 998.43, 1,495.85 and 778.29 is: 1,166.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.43 : 1,495.85 = 778.29 : x
  2. Step 2: Convert to fraction form
    998.43/1,495.85 = 778.29/x
  3. Step 3: Cross multiply
    998.43x = 1,495.85 × 778.29
  4. Step 4: Simplify right side
    998.43x = 1,164,201.21
  5. Step 5: Solve for x
    x = 1,164,201.21/998.43
  6. Step 6: Final answer
    x = 1,166.03

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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.