Home / 1,311.53-1,967.30-324.35

Finding the Fourth Proportional to 1,311.53, 1,967.30 and 324.35

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Solution

The fourth proportional to 1,311.53, 1,967.30 and 324.35 is: 486.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311.53 : 1,967.30 = 324.35 : x
  2. Step 2: Convert to fraction form
    1,311.53/1,967.30 = 324.35/x
  3. Step 3: Cross multiply
    1,311.53x = 1,967.30 × 324.35
  4. Step 4: Simplify right side
    1,311.53x = 638,093.76
  5. Step 5: Solve for x
    x = 638,093.76/1,311.53
  6. Step 6: Final answer
    x = 486.53

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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.