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Finding the Fourth Proportional to 696.31, 960.80 and 401.54

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Solution

The fourth proportional to 696.31, 960.80 and 401.54 is: 554.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.31 : 960.80 = 401.54 : x
  2. Step 2: Convert to fraction form
    696.31/960.80 = 401.54/x
  3. Step 3: Cross multiply
    696.31x = 960.80 × 401.54
  4. Step 4: Simplify right side
    696.31x = 385,792.82
  5. Step 5: Solve for x
    x = 385,792.82/696.31
  6. Step 6: Final answer
    x = 554.06

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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.