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Finding the Fourth Proportional to 818.94, 1,225.92 and 678.90

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Solution

The fourth proportional to 818.94, 1,225.92 and 678.90 is: 1,016.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.94 : 1,225.92 = 678.90 : x
  2. Step 2: Convert to fraction form
    818.94/1,225.92 = 678.90/x
  3. Step 3: Cross multiply
    818.94x = 1,225.92 × 678.90
  4. Step 4: Simplify right side
    818.94x = 832,277.09
  5. Step 5: Solve for x
    x = 832,277.09/818.94
  6. Step 6: Final answer
    x = 1,016.29

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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.