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Finding the Fourth Proportional to 696.53, 961.40 and 401.84

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Solution

The fourth proportional to 696.53, 961.40 and 401.84 is: 554.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.53 : 961.40 = 401.84 : x
  2. Step 2: Convert to fraction form
    696.53/961.40 = 401.84/x
  3. Step 3: Cross multiply
    696.53x = 961.40 × 401.84
  4. Step 4: Simplify right side
    696.53x = 386,322.16
  5. Step 5: Solve for x
    x = 386,322.16/696.53
  6. Step 6: Final answer
    x = 554.64

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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.