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Finding the Fourth Proportional to 878.94, 1,212.61 and 677.11

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Solution

The fourth proportional to 878.94, 1,212.61 and 677.11 is: 934.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.94 : 1,212.61 = 677.11 : x
  2. Step 2: Convert to fraction form
    878.94/1,212.61 = 677.11/x
  3. Step 3: Cross multiply
    878.94x = 1,212.61 × 677.11
  4. Step 4: Simplify right side
    878.94x = 821,070.36
  5. Step 5: Solve for x
    x = 821,070.36/878.94
  6. Step 6: Final answer
    x = 934.16

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Why These Related Problems?

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