Home / 1,311.14-1,966.21-530.94

Finding the Fourth Proportional to 1,311.14, 1,966.21 and 530.94

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Solution

The fourth proportional to 1,311.14, 1,966.21 and 530.94 is: 796.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311.14 : 1,966.21 = 530.94 : x
  2. Step 2: Convert to fraction form
    1,311.14/1,966.21 = 530.94/x
  3. Step 3: Cross multiply
    1,311.14x = 1,966.21 × 530.94
  4. Step 4: Simplify right side
    1,311.14x = 1,043,945.58
  5. Step 5: Solve for x
    x = 1,043,945.58/1,311.14
  6. Step 6: Final answer
    x = 796.21

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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.