Home / 1,316.82-1,973.80-667.60

Finding the Fourth Proportional to 1,316.82, 1,973.80 and 667.60

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Solution

The fourth proportional to 1,316.82, 1,973.80 and 667.60 is: 1,000.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,316.82 : 1,973.80 = 667.60 : x
  2. Step 2: Convert to fraction form
    1,316.82/1,973.80 = 667.60/x
  3. Step 3: Cross multiply
    1,316.82x = 1,973.80 × 667.60
  4. Step 4: Simplify right side
    1,316.82x = 1,317,708.88
  5. Step 5: Solve for x
    x = 1,317,708.88/1,316.82
  6. Step 6: Final answer
    x = 1,000.68

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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.