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Finding the Fourth Proportional to 863.65, 1,294.57 and 620.05

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Solution

The fourth proportional to 863.65, 1,294.57 and 620.05 is: 929.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.65 : 1,294.57 = 620.05 : x
  2. Step 2: Convert to fraction form
    863.65/1,294.57 = 620.05/x
  3. Step 3: Cross multiply
    863.65x = 1,294.57 × 620.05
  4. Step 4: Simplify right side
    863.65x = 802,688.56
  5. Step 5: Solve for x
    x = 802,688.56/863.65
  6. Step 6: Final answer
    x = 929.41

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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.