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Finding the Fourth Proportional to 531.42, 791.01 and 523.62

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Solution

The fourth proportional to 531.42, 791.01 and 523.62 is: 779.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.42 : 791.01 = 523.62 : x
  2. Step 2: Convert to fraction form
    531.42/791.01 = 523.62/x
  3. Step 3: Cross multiply
    531.42x = 791.01 × 523.62
  4. Step 4: Simplify right side
    531.42x = 414,188.66
  5. Step 5: Solve for x
    x = 414,188.66/531.42
  6. Step 6: Final answer
    x = 779.40

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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.