Home / 1,311.12-1,966.86-489.20

Finding the Fourth Proportional to 1,311.12, 1,966.86 and 489.20

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Solution

The fourth proportional to 1,311.12, 1,966.86 and 489.20 is: 733.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311.12 : 1,966.86 = 489.20 : x
  2. Step 2: Convert to fraction form
    1,311.12/1,966.86 = 489.20/x
  3. Step 3: Cross multiply
    1,311.12x = 1,966.86 × 489.20
  4. Step 4: Simplify right side
    1,311.12x = 962,178.08
  5. Step 5: Solve for x
    x = 962,178.08/1,311.12
  6. Step 6: Final answer
    x = 733.86

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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.