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Finding the Fourth Proportional to 696.15, 960.71 and 401.44

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Solution

The fourth proportional to 696.15, 960.71 and 401.44 is: 553.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.15 : 960.71 = 401.44 : x
  2. Step 2: Convert to fraction form
    696.15/960.71 = 401.44/x
  3. Step 3: Cross multiply
    696.15x = 960.71 × 401.44
  4. Step 4: Simplify right side
    696.15x = 385,664.52
  5. Step 5: Solve for x
    x = 385,664.52/696.15
  6. Step 6: Final answer
    x = 553.99

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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.