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Finding the Fourth Proportional to 828.09, 1,242.32 and 499.32

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Solution

The fourth proportional to 828.09, 1,242.32 and 499.32 is: 749.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.09 : 1,242.32 = 499.32 : x
  2. Step 2: Convert to fraction form
    828.09/1,242.32 = 499.32/x
  3. Step 3: Cross multiply
    828.09x = 1,242.32 × 499.32
  4. Step 4: Simplify right side
    828.09x = 620,312.73
  5. Step 5: Solve for x
    x = 620,312.73/828.09
  6. Step 6: Final answer
    x = 749.09

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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.