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Finding the Fourth Proportional to 998.68, 1,384.45 and 945.98

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Solution

The fourth proportional to 998.68, 1,384.45 and 945.98 is: 1,311.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.68 : 1,384.45 = 945.98 : x
  2. Step 2: Convert to fraction form
    998.68/1,384.45 = 945.98/x
  3. Step 3: Cross multiply
    998.68x = 1,384.45 × 945.98
  4. Step 4: Simplify right side
    998.68x = 1,309,662.01
  5. Step 5: Solve for x
    x = 1,309,662.01/998.68
  6. Step 6: Final answer
    x = 1,311.39

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.