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Finding the Fourth Proportional to 878.15, 1,316.93 and 683.37

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Solution

The fourth proportional to 878.15, 1,316.93 and 683.37 is: 1,024.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.15 : 1,316.93 = 683.37 : x
  2. Step 2: Convert to fraction form
    878.15/1,316.93 = 683.37/x
  3. Step 3: Cross multiply
    878.15x = 1,316.93 × 683.37
  4. Step 4: Simplify right side
    878.15x = 899,947.04
  5. Step 5: Solve for x
    x = 899,947.04/878.15
  6. Step 6: Final answer
    x = 1,024.83

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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.