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Finding the Fourth Proportional to 828.24, 1,240.20 and 807.60

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Solution

The fourth proportional to 828.24, 1,240.20 and 807.60 is: 1,209.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.24 : 1,240.20 = 807.60 : x
  2. Step 2: Convert to fraction form
    828.24/1,240.20 = 807.60/x
  3. Step 3: Cross multiply
    828.24x = 1,240.20 × 807.60
  4. Step 4: Simplify right side
    828.24x = 1,001,585.52
  5. Step 5: Solve for x
    x = 1,001,585.52/828.24
  6. Step 6: Final answer
    x = 1,209.29

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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.