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Finding the Fourth Proportional to 878.94, 1,210.32 and 629.82

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Solution

The fourth proportional to 878.94, 1,210.32 and 629.82 is: 867.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.94 : 1,210.32 = 629.82 : x
  2. Step 2: Convert to fraction form
    878.94/1,210.32 = 629.82/x
  3. Step 3: Cross multiply
    878.94x = 1,210.32 × 629.82
  4. Step 4: Simplify right side
    878.94x = 762,283.74
  5. Step 5: Solve for x
    x = 762,283.74/878.94
  6. Step 6: Final answer
    x = 867.28

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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.