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Finding the Fourth Proportional to 990.88, 1,367.62 and 824.93

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Solution

The fourth proportional to 990.88, 1,367.62 and 824.93 is: 1,138.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    990.88 : 1,367.62 = 824.93 : x
  2. Step 2: Convert to fraction form
    990.88/1,367.62 = 824.93/x
  3. Step 3: Cross multiply
    990.88x = 1,367.62 × 824.93
  4. Step 4: Simplify right side
    990.88x = 1,128,190.77
  5. Step 5: Solve for x
    x = 1,128,190.77/990.88
  6. Step 6: Final answer
    x = 1,138.57

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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.