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Finding the Fourth Proportional to 880.10, 1,214.49 and 683.78

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Solution

The fourth proportional to 880.10, 1,214.49 and 683.78 is: 943.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.10 : 1,214.49 = 683.78 : x
  2. Step 2: Convert to fraction form
    880.10/1,214.49 = 683.78/x
  3. Step 3: Cross multiply
    880.10x = 1,214.49 × 683.78
  4. Step 4: Simplify right side
    880.10x = 830,443.97
  5. Step 5: Solve for x
    x = 830,443.97/880.10
  6. Step 6: Final answer
    x = 943.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.