Home / 1,311.12-1,966.64-323.94

Finding the Fourth Proportional to 1,311.12, 1,966.64 and 323.94

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Solution

The fourth proportional to 1,311.12, 1,966.64 and 323.94 is: 485.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311.12 : 1,966.64 = 323.94 : x
  2. Step 2: Convert to fraction form
    1,311.12/1,966.64 = 323.94/x
  3. Step 3: Cross multiply
    1,311.12x = 1,966.64 × 323.94
  4. Step 4: Simplify right side
    1,311.12x = 637,071.74
  5. Step 5: Solve for x
    x = 637,071.74/1,311.12
  6. Step 6: Final answer
    x = 485.90

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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.