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Finding the Fourth Proportional to 996.99, 1,376.94 and 666.92

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Solution

The fourth proportional to 996.99, 1,376.94 and 666.92 is: 921.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.99 : 1,376.94 = 666.92 : x
  2. Step 2: Convert to fraction form
    996.99/1,376.94 = 666.92/x
  3. Step 3: Cross multiply
    996.99x = 1,376.94 × 666.92
  4. Step 4: Simplify right side
    996.99x = 918,301.94
  5. Step 5: Solve for x
    x = 918,301.94/996.99
  6. Step 6: Final answer
    x = 921.07

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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.