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Finding the Fourth Proportional to 696.43, 960.89 and 401.77

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Solution

The fourth proportional to 696.43, 960.89 and 401.77 is: 554.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.43 : 960.89 = 401.77 : x
  2. Step 2: Convert to fraction form
    696.43/960.89 = 401.77/x
  3. Step 3: Cross multiply
    696.43x = 960.89 × 401.77
  4. Step 4: Simplify right side
    696.43x = 386,054.77
  5. Step 5: Solve for x
    x = 386,054.77/696.43
  6. Step 6: Final answer
    x = 554.33

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1.5x scale

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.