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Finding the Fourth Proportional to 496.19, 684.52 and 286.32

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Solution

The fourth proportional to 496.19, 684.52 and 286.32 is: 394.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.19 : 684.52 = 286.32 : x
  2. Step 2: Convert to fraction form
    496.19/684.52 = 286.32/x
  3. Step 3: Cross multiply
    496.19x = 684.52 × 286.32
  4. Step 4: Simplify right side
    496.19x = 195,991.77
  5. Step 5: Solve for x
    x = 195,991.77/496.19
  6. Step 6: Final answer
    x = 394.99

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Double scale
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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.