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Finding the Fourth Proportional to 863.66, 1,295.28 and 286.46

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Solution

The fourth proportional to 863.66, 1,295.28 and 286.46 is: 429.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.66 : 1,295.28 = 286.46 : x
  2. Step 2: Convert to fraction form
    863.66/1,295.28 = 286.46/x
  3. Step 3: Cross multiply
    863.66x = 1,295.28 × 286.46
  4. Step 4: Simplify right side
    863.66x = 371,045.91
  5. Step 5: Solve for x
    x = 371,045.91/863.66
  6. Step 6: Final answer
    x = 429.62

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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.