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Finding the Fourth Proportional to 838.20, 1,257.84 and 492.84

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Solution

The fourth proportional to 838.20, 1,257.84 and 492.84 is: 739.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.20 : 1,257.84 = 492.84 : x
  2. Step 2: Convert to fraction form
    838.20/1,257.84 = 492.84/x
  3. Step 3: Cross multiply
    838.20x = 1,257.84 × 492.84
  4. Step 4: Simplify right side
    838.20x = 619,913.87
  5. Step 5: Solve for x
    x = 619,913.87/838.20
  6. Step 6: Final answer
    x = 739.58

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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.