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Finding the Fourth Proportional to 862.21, 1,189.74 and 489.19

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Solution

The fourth proportional to 862.21, 1,189.74 and 489.19 is: 675.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.21 : 1,189.74 = 489.19 : x
  2. Step 2: Convert to fraction form
    862.21/1,189.74 = 489.19/x
  3. Step 3: Cross multiply
    862.21x = 1,189.74 × 489.19
  4. Step 4: Simplify right side
    862.21x = 582,008.91
  5. Step 5: Solve for x
    x = 582,008.91/862.21
  6. Step 6: Final answer
    x = 675.02

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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.