Home / 1,285.13-1,927.69-311.24

Finding the Fourth Proportional to 1,285.13, 1,927.69 and 311.24

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Solution

The fourth proportional to 1,285.13, 1,927.69 and 311.24 is: 466.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285.13 : 1,927.69 = 311.24 : x
  2. Step 2: Convert to fraction form
    1,285.13/1,927.69 = 311.24/x
  3. Step 3: Cross multiply
    1,285.13x = 1,927.69 × 311.24
  4. Step 4: Simplify right side
    1,285.13x = 599,974.24
  5. Step 5: Solve for x
    x = 599,974.24/1,285.13
  6. Step 6: Final answer
    x = 466.86

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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.