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Finding the Fourth Proportional to 539.04, 805.21 and 512.40

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Solution

The fourth proportional to 539.04, 805.21 and 512.40 is: 765.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.04 : 805.21 = 512.40 : x
  2. Step 2: Convert to fraction form
    539.04/805.21 = 512.40/x
  3. Step 3: Cross multiply
    539.04x = 805.21 × 512.40
  4. Step 4: Simplify right side
    539.04x = 412,589.60
  5. Step 5: Solve for x
    x = 412,589.60/539.04
  6. Step 6: Final answer
    x = 765.42

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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.