Home / 1,281.44-1,922.48-415.76

Finding the Fourth Proportional to 1,281.44, 1,922.48 and 415.76

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Solution

The fourth proportional to 1,281.44, 1,922.48 and 415.76 is: 623.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,281.44 : 1,922.48 = 415.76 : x
  2. Step 2: Convert to fraction form
    1,281.44/1,922.48 = 415.76/x
  3. Step 3: Cross multiply
    1,281.44x = 1,922.48 × 415.76
  4. Step 4: Simplify right side
    1,281.44x = 799,290.28
  5. Step 5: Solve for x
    x = 799,290.28/1,281.44
  6. Step 6: Final answer
    x = 623.74

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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.