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Finding the Fourth Proportional to 838.17, 1,259.82 and 531.99

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Solution

The fourth proportional to 838.17, 1,259.82 and 531.99 is: 799.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.17 : 1,259.82 = 531.99 : x
  2. Step 2: Convert to fraction form
    838.17/1,259.82 = 531.99/x
  3. Step 3: Cross multiply
    838.17x = 1,259.82 × 531.99
  4. Step 4: Simplify right side
    838.17x = 670,211.64
  5. Step 5: Solve for x
    x = 670,211.64/838.17
  6. Step 6: Final answer
    x = 799.61

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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.