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Finding the Fourth Proportional to 951.83, 1,428.20 and 828.66

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Solution

The fourth proportional to 951.83, 1,428.20 and 828.66 is: 1,243.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    951.83 : 1,428.20 = 828.66 : x
  2. Step 2: Convert to fraction form
    951.83/1,428.20 = 828.66/x
  3. Step 3: Cross multiply
    951.83x = 1,428.20 × 828.66
  4. Step 4: Simplify right side
    951.83x = 1,183,488.07
  5. Step 5: Solve for x
    x = 1,183,488.07/951.83
  6. Step 6: Final answer
    x = 1,243.39

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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.