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Finding the Fourth Proportional to 838.22, 1,254.69 and 529.00

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Solution

The fourth proportional to 838.22, 1,254.69 and 529.00 is: 791.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.22 : 1,254.69 = 529.00 : x
  2. Step 2: Convert to fraction form
    838.22/1,254.69 = 529.00/x
  3. Step 3: Cross multiply
    838.22x = 1,254.69 × 529.00
  4. Step 4: Simplify right side
    838.22x = 663,727.87
  5. Step 5: Solve for x
    x = 663,727.87/838.22
  6. Step 6: Final answer
    x = 791.83

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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.