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Finding the Fourth Proportional to 1,311.69, 1,966.23 and 489.72

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Solution

The fourth proportional to 1,311.69, 1,966.23 and 489.72 is: 734.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311.69 : 1,966.23 = 489.72 : x
  2. Step 2: Convert to fraction form
    1,311.69/1,966.23 = 489.72/x
  3. Step 3: Cross multiply
    1,311.69x = 1,966.23 × 489.72
  4. Step 4: Simplify right side
    1,311.69x = 962,902.16
  5. Step 5: Solve for x
    x = 962,902.16/1,311.69
  6. Step 6: Final answer
    x = 734.09

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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.