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Finding the Fourth Proportional to 539.59, 809.39 and 432.06

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Solution

The fourth proportional to 539.59, 809.39 and 432.06 is: 648.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.59 : 809.39 = 432.06 : x
  2. Step 2: Convert to fraction form
    539.59/809.39 = 432.06/x
  3. Step 3: Cross multiply
    539.59x = 809.39 × 432.06
  4. Step 4: Simplify right side
    539.59x = 349,702.88
  5. Step 5: Solve for x
    x = 349,702.88/539.59
  6. Step 6: Final answer
    x = 648.09

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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.