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Finding the Fourth Proportional to 696.20, 961.47 and 486.95

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Solution

The fourth proportional to 696.20, 961.47 and 486.95 is: 672.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.20 : 961.47 = 486.95 : x
  2. Step 2: Convert to fraction form
    696.20/961.47 = 486.95/x
  3. Step 3: Cross multiply
    696.20x = 961.47 × 486.95
  4. Step 4: Simplify right side
    696.20x = 468,183.01
  5. Step 5: Solve for x
    x = 468,183.01/696.20
  6. Step 6: Final answer
    x = 672.49

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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.