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Finding the Fourth Proportional to 1,311.96, 1,966.12 and 489.40

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Solution

The fourth proportional to 1,311.96, 1,966.12 and 489.40 is: 733.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311.96 : 1,966.12 = 489.40 : x
  2. Step 2: Convert to fraction form
    1,311.96/1,966.12 = 489.40/x
  3. Step 3: Cross multiply
    1,311.96x = 1,966.12 × 489.40
  4. Step 4: Simplify right side
    1,311.96x = 962,219.13
  5. Step 5: Solve for x
    x = 962,219.13/1,311.96
  6. Step 6: Final answer
    x = 733.42

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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.