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Finding the Fourth Proportional to 828.03, 1,242.45 and 801.30

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Solution

The fourth proportional to 828.03, 1,242.45 and 801.30 is: 1,202.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.03 : 1,242.45 = 801.30 : x
  2. Step 2: Convert to fraction form
    828.03/1,242.45 = 801.30/x
  3. Step 3: Cross multiply
    828.03x = 1,242.45 × 801.30
  4. Step 4: Simplify right side
    828.03x = 995,575.19
  5. Step 5: Solve for x
    x = 995,575.19/828.03
  6. Step 6: Final answer
    x = 1,202.34

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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.