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Finding the Fourth Proportional to 878.52, 1,212.76 and 626.64

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Solution

The fourth proportional to 878.52, 1,212.76 and 626.64 is: 865.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.52 : 1,212.76 = 626.64 : x
  2. Step 2: Convert to fraction form
    878.52/1,212.76 = 626.64/x
  3. Step 3: Cross multiply
    878.52x = 1,212.76 × 626.64
  4. Step 4: Simplify right side
    878.52x = 759,963.93
  5. Step 5: Solve for x
    x = 759,963.93/878.52
  6. Step 6: Final answer
    x = 865.05

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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.