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Finding the Fourth Proportional to 531.67, 797.38 and 257.62

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Solution

The fourth proportional to 531.67, 797.38 and 257.62 is: 386.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.67 : 797.38 = 257.62 : x
  2. Step 2: Convert to fraction form
    531.67/797.38 = 257.62/x
  3. Step 3: Cross multiply
    531.67x = 797.38 × 257.62
  4. Step 4: Simplify right side
    531.67x = 205,421.04
  5. Step 5: Solve for x
    x = 205,421.04/531.67
  6. Step 6: Final answer
    x = 386.37

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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.