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Finding the Fourth Proportional to 863.92, 1,296.06 and 286.75

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Solution

The fourth proportional to 863.92, 1,296.06 and 286.75 is: 430.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.92 : 1,296.06 = 286.75 : x
  2. Step 2: Convert to fraction form
    863.92/1,296.06 = 286.75/x
  3. Step 3: Cross multiply
    863.92x = 1,296.06 × 286.75
  4. Step 4: Simplify right side
    863.92x = 371,645.21
  5. Step 5: Solve for x
    x = 371,645.21/863.92
  6. Step 6: Final answer
    x = 430.18

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.