Home / 1,317.50-1,977.32-668.42

Finding the Fourth Proportional to 1,317.50, 1,977.32 and 668.42

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Solution

The fourth proportional to 1,317.50, 1,977.32 and 668.42 is: 1,003.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,317.50 : 1,977.32 = 668.42 : x
  2. Step 2: Convert to fraction form
    1,317.50/1,977.32 = 668.42/x
  3. Step 3: Cross multiply
    1,317.50x = 1,977.32 × 668.42
  4. Step 4: Simplify right side
    1,317.50x = 1,321,680.23
  5. Step 5: Solve for x
    x = 1,321,680.23/1,317.50
  6. Step 6: Final answer
    x = 1,003.17

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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.