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Finding the Fourth Proportional to 696.38, 961.40 and 483.99

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Solution

The fourth proportional to 696.38, 961.40 and 483.99 is: 668.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.38 : 961.40 = 483.99 : x
  2. Step 2: Convert to fraction form
    696.38/961.40 = 483.99/x
  3. Step 3: Cross multiply
    696.38x = 961.40 × 483.99
  4. Step 4: Simplify right side
    696.38x = 465,305.57
  5. Step 5: Solve for x
    x = 465,305.57/696.38
  6. Step 6: Final answer
    x = 668.18

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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.