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Finding the Fourth Proportional to 553.62, 826.26 and 539.04

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Solution

The fourth proportional to 553.62, 826.26 and 539.04 is: 804.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.62 : 826.26 = 539.04 : x
  2. Step 2: Convert to fraction form
    553.62/826.26 = 539.04/x
  3. Step 3: Cross multiply
    553.62x = 826.26 × 539.04
  4. Step 4: Simplify right side
    553.62x = 445,387.19
  5. Step 5: Solve for x
    x = 445,387.19/553.62
  6. Step 6: Final answer
    x = 804.50

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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.