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Finding the Fourth Proportional to 531.67, 796.80 and 257.39

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Solution

The fourth proportional to 531.67, 796.80 and 257.39 is: 385.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.67 : 796.80 = 257.39 : x
  2. Step 2: Convert to fraction form
    531.67/796.80 = 257.39/x
  3. Step 3: Cross multiply
    531.67x = 796.80 × 257.39
  4. Step 4: Simplify right side
    531.67x = 205,084.37
  5. Step 5: Solve for x
    x = 205,084.37/531.67
  6. Step 6: Final answer
    x = 385.74

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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.