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Finding the Fourth Proportional to 1,311.41, 1,967.05 and 489.62

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Solution

The fourth proportional to 1,311.41, 1,967.05 and 489.62 is: 734.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311.41 : 1,967.05 = 489.62 : x
  2. Step 2: Convert to fraction form
    1,311.41/1,967.05 = 489.62/x
  3. Step 3: Cross multiply
    1,311.41x = 1,967.05 × 489.62
  4. Step 4: Simplify right side
    1,311.41x = 963,105.14
  5. Step 5: Solve for x
    x = 963,105.14/1,311.41
  6. Step 6: Final answer
    x = 734.40

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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.