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Finding the Fourth Proportional to 1,315.22, 1,971.32 and 481.91

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Solution

The fourth proportional to 1,315.22, 1,971.32 and 481.91 is: 722.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315.22 : 1,971.32 = 481.91 : x
  2. Step 2: Convert to fraction form
    1,315.22/1,971.32 = 481.91/x
  3. Step 3: Cross multiply
    1,315.22x = 1,971.32 × 481.91
  4. Step 4: Simplify right side
    1,315.22x = 949,986.56
  5. Step 5: Solve for x
    x = 949,986.56/1,315.22
  6. Step 6: Final answer
    x = 722.31

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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.