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Finding the Fourth Proportional to 862.41, 1,190.70 and 662.89

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Solution

The fourth proportional to 862.41, 1,190.70 and 662.89 is: 915.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.41 : 1,190.70 = 662.89 : x
  2. Step 2: Convert to fraction form
    862.41/1,190.70 = 662.89/x
  3. Step 3: Cross multiply
    862.41x = 1,190.70 × 662.89
  4. Step 4: Simplify right side
    862.41x = 789,293.86
  5. Step 5: Solve for x
    x = 789,293.86/862.41
  6. Step 6: Final answer
    x = 915.22

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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.