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Finding the Fourth Proportional to 952.20, 1,428.84 and 678.96

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Solution

The fourth proportional to 952.20, 1,428.84 and 678.96 is: 1,018.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.20 : 1,428.84 = 678.96 : x
  2. Step 2: Convert to fraction form
    952.20/1,428.84 = 678.96/x
  3. Step 3: Cross multiply
    952.20x = 1,428.84 × 678.96
  4. Step 4: Simplify right side
    952.20x = 970,125.21
  5. Step 5: Solve for x
    x = 970,125.21/952.20
  6. Step 6: Final answer
    x = 1,018.83

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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.