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Finding the Fourth Proportional to 531.54, 791.46 and 529.92

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Solution

The fourth proportional to 531.54, 791.46 and 529.92 is: 789.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.54 : 791.46 = 529.92 : x
  2. Step 2: Convert to fraction form
    531.54/791.46 = 529.92/x
  3. Step 3: Cross multiply
    531.54x = 791.46 × 529.92
  4. Step 4: Simplify right side
    531.54x = 419,410.48
  5. Step 5: Solve for x
    x = 419,410.48/531.54
  6. Step 6: Final answer
    x = 789.05

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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.