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Finding the Fourth Proportional to 695.98, 960.44 and 381.25

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Solution

The fourth proportional to 695.98, 960.44 and 381.25 is: 526.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.98 : 960.44 = 381.25 : x
  2. Step 2: Convert to fraction form
    695.98/960.44 = 381.25/x
  3. Step 3: Cross multiply
    695.98x = 960.44 × 381.25
  4. Step 4: Simplify right side
    695.98x = 366,162.95
  5. Step 5: Solve for x
    x = 366,162.95/695.98
  6. Step 6: Final answer
    x = 526.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.