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Finding the Fourth Proportional to 990.50, 1,367.10 and 824.56

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Solution

The fourth proportional to 990.50, 1,367.10 and 824.56 is: 1,138.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    990.50 : 1,367.10 = 824.56 : x
  2. Step 2: Convert to fraction form
    990.50/1,367.10 = 824.56/x
  3. Step 3: Cross multiply
    990.50x = 1,367.10 × 824.56
  4. Step 4: Simplify right side
    990.50x = 1,127,255.98
  5. Step 5: Solve for x
    x = 1,127,255.98/990.50
  6. Step 6: Final answer
    x = 1,138.07

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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.