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Finding the Fourth Proportional to 863.43, 1,294.61 and 570.62

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Solution

The fourth proportional to 863.43, 1,294.61 and 570.62 is: 855.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.43 : 1,294.61 = 570.62 : x
  2. Step 2: Convert to fraction form
    863.43/1,294.61 = 570.62/x
  3. Step 3: Cross multiply
    863.43x = 1,294.61 × 570.62
  4. Step 4: Simplify right side
    863.43x = 738,721.03
  5. Step 5: Solve for x
    x = 738,721.03/863.43
  6. Step 6: Final answer
    x = 855.57

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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.