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Finding the Fourth Proportional to 531.85, 791.52 and 512.41

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Solution

The fourth proportional to 531.85, 791.52 and 512.41 is: 762.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.85 : 791.52 = 512.41 : x
  2. Step 2: Convert to fraction form
    531.85/791.52 = 512.41/x
  3. Step 3: Cross multiply
    531.85x = 791.52 × 512.41
  4. Step 4: Simplify right side
    531.85x = 405,580.20
  5. Step 5: Solve for x
    x = 405,580.20/531.85
  6. Step 6: Final answer
    x = 762.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.