Home / 1,311.24-1,965.96-489.36

Finding the Fourth Proportional to 1,311.24, 1,965.96 and 489.36

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Solution

The fourth proportional to 1,311.24, 1,965.96 and 489.36 is: 733.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311.24 : 1,965.96 = 489.36 : x
  2. Step 2: Convert to fraction form
    1,311.24/1,965.96 = 489.36/x
  3. Step 3: Cross multiply
    1,311.24x = 1,965.96 × 489.36
  4. Step 4: Simplify right side
    1,311.24x = 962,062.19
  5. Step 5: Solve for x
    x = 962,062.19/1,311.24
  6. Step 6: Final answer
    x = 733.70

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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.