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Finding the Fourth Proportional to 863.34, 1,295.62 and 589.70

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Solution

The fourth proportional to 863.34, 1,295.62 and 589.70 is: 884.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.34 : 1,295.62 = 589.70 : x
  2. Step 2: Convert to fraction form
    863.34/1,295.62 = 589.70/x
  3. Step 3: Cross multiply
    863.34x = 1,295.62 × 589.70
  4. Step 4: Simplify right side
    863.34x = 764,019.16
  5. Step 5: Solve for x
    x = 764,019.16/863.34
  6. Step 6: Final answer
    x = 884.96

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Double scale
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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.