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Finding the Fourth Proportional to 986.23, 1,479.35 and 822.21

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Solution

The fourth proportional to 986.23, 1,479.35 and 822.21 is: 1,233.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.23 : 1,479.35 = 822.21 : x
  2. Step 2: Convert to fraction form
    986.23/1,479.35 = 822.21/x
  3. Step 3: Cross multiply
    986.23x = 1,479.35 × 822.21
  4. Step 4: Simplify right side
    986.23x = 1,216,336.36
  5. Step 5: Solve for x
    x = 1,216,336.36/986.23
  6. Step 6: Final answer
    x = 1,233.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.