Home / 1,311.72-1,967.80-445.82

Finding the Fourth Proportional to 1,311.72, 1,967.80 and 445.82

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Solution

The fourth proportional to 1,311.72, 1,967.80 and 445.82 is: 668.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311.72 : 1,967.80 = 445.82 : x
  2. Step 2: Convert to fraction form
    1,311.72/1,967.80 = 445.82/x
  3. Step 3: Cross multiply
    1,311.72x = 1,967.80 × 445.82
  4. Step 4: Simplify right side
    1,311.72x = 877,284.60
  5. Step 5: Solve for x
    x = 877,284.60/1,311.72
  6. Step 6: Final answer
    x = 668.80

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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.