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Finding the Fourth Proportional to 863.69, 1,295.08 and 589.86

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Solution

The fourth proportional to 863.69, 1,295.08 and 589.86 is: 884.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.69 : 1,295.08 = 589.86 : x
  2. Step 2: Convert to fraction form
    863.69/1,295.08 = 589.86/x
  3. Step 3: Cross multiply
    863.69x = 1,295.08 × 589.86
  4. Step 4: Simplify right side
    863.69x = 763,914.41
  5. Step 5: Solve for x
    x = 763,914.41/863.69
  6. Step 6: Final answer
    x = 884.48

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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.