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Finding the Fourth Proportional to 828.30, 1,209.75 and 828.30

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Solution

The fourth proportional to 828.30, 1,209.75 and 828.30 is: 1,209.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.30 : 1,209.75 = 828.30 : x
  2. Step 2: Convert to fraction form
    828.30/1,209.75 = 828.30/x
  3. Step 3: Cross multiply
    828.30x = 1,209.75 × 828.30
  4. Step 4: Simplify right side
    828.30x = 1,002,035.93
  5. Step 5: Solve for x
    x = 1,002,035.93/828.30
  6. Step 6: Final answer
    x = 1,209.75

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.