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Finding the Fourth Proportional to 996.99, 1,376.47 and 682.77

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Solution

The fourth proportional to 996.99, 1,376.47 and 682.77 is: 942.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.99 : 1,376.47 = 682.77 : x
  2. Step 2: Convert to fraction form
    996.99/1,376.47 = 682.77/x
  3. Step 3: Cross multiply
    996.99x = 1,376.47 × 682.77
  4. Step 4: Simplify right side
    996.99x = 939,812.42
  5. Step 5: Solve for x
    x = 939,812.42/996.99
  6. Step 6: Final answer
    x = 942.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.