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Finding the Fourth Proportional to 946.92, 1,425.99 and 826.62

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Solution

The fourth proportional to 946.92, 1,425.99 and 826.62 is: 1,244.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.92 : 1,425.99 = 826.62 : x
  2. Step 2: Convert to fraction form
    946.92/1,425.99 = 826.62/x
  3. Step 3: Cross multiply
    946.92x = 1,425.99 × 826.62
  4. Step 4: Simplify right side
    946.92x = 1,178,751.85
  5. Step 5: Solve for x
    x = 1,178,751.85/946.92
  6. Step 6: Final answer
    x = 1,244.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.