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Finding the Fourth Proportional to 531.62, 797.43 and 519.47

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Solution

The fourth proportional to 531.62, 797.43 and 519.47 is: 779.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.62 : 797.43 = 519.47 : x
  2. Step 2: Convert to fraction form
    531.62/797.43 = 519.47/x
  3. Step 3: Cross multiply
    531.62x = 797.43 × 519.47
  4. Step 4: Simplify right side
    531.62x = 414,240.96
  5. Step 5: Solve for x
    x = 414,240.96/531.62
  6. Step 6: Final answer
    x = 779.21

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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.