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Finding the Fourth Proportional to 838.59, 1,257.09 and 529.50

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Solution

The fourth proportional to 838.59, 1,257.09 and 529.50 is: 793.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.59 : 1,257.09 = 529.50 : x
  2. Step 2: Convert to fraction form
    838.59/1,257.09 = 529.50/x
  3. Step 3: Cross multiply
    838.59x = 1,257.09 × 529.50
  4. Step 4: Simplify right side
    838.59x = 665,629.16
  5. Step 5: Solve for x
    x = 665,629.16/838.59
  6. Step 6: Final answer
    x = 793.75

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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.