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Finding the Fourth Proportional to 878.94, 1,318.62 and 392.28

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Solution

The fourth proportional to 878.94, 1,318.62 and 392.28 is: 588.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.94 : 1,318.62 = 392.28 : x
  2. Step 2: Convert to fraction form
    878.94/1,318.62 = 392.28/x
  3. Step 3: Cross multiply
    878.94x = 1,318.62 × 392.28
  4. Step 4: Simplify right side
    878.94x = 517,268.25
  5. Step 5: Solve for x
    x = 517,268.25/878.94
  6. Step 6: Final answer
    x = 588.51

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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.