Home / 1,311.16-1,966.75-489.43

Finding the Fourth Proportional to 1,311.16, 1,966.75 and 489.43

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Solution

The fourth proportional to 1,311.16, 1,966.75 and 489.43 is: 734.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311.16 : 1,966.75 = 489.43 : x
  2. Step 2: Convert to fraction form
    1,311.16/1,966.75 = 489.43/x
  3. Step 3: Cross multiply
    1,311.16x = 1,966.75 × 489.43
  4. Step 4: Simplify right side
    1,311.16x = 962,581.81
  5. Step 5: Solve for x
    x = 962,581.81/1,311.16
  6. Step 6: Final answer
    x = 734.14

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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.