Home / 1,281.39-1,922.46-415.68

Finding the Fourth Proportional to 1,281.39, 1,922.46 and 415.68

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Solution

The fourth proportional to 1,281.39, 1,922.46 and 415.68 is: 623.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,281.39 : 1,922.46 = 415.68 : x
  2. Step 2: Convert to fraction form
    1,281.39/1,922.46 = 415.68/x
  3. Step 3: Cross multiply
    1,281.39x = 1,922.46 × 415.68
  4. Step 4: Simplify right side
    1,281.39x = 799,128.17
  5. Step 5: Solve for x
    x = 799,128.17/1,281.39
  6. Step 6: Final answer
    x = 623.64

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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.