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Finding the Fourth Proportional to 584.21, 804.63 and 540.41

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Solution

The fourth proportional to 584.21, 804.63 and 540.41 is: 744.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.21 : 804.63 = 540.41 : x
  2. Step 2: Convert to fraction form
    584.21/804.63 = 540.41/x
  3. Step 3: Cross multiply
    584.21x = 804.63 × 540.41
  4. Step 4: Simplify right side
    584.21x = 434,826.08
  5. Step 5: Solve for x
    x = 434,826.08/584.21
  6. Step 6: Final answer
    x = 744.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.