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Finding the Fourth Proportional to 553.25, 830.50 and 539.89

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Solution

The fourth proportional to 553.25, 830.50 and 539.89 is: 810.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.25 : 830.50 = 539.89 : x
  2. Step 2: Convert to fraction form
    553.25/830.50 = 539.89/x
  3. Step 3: Cross multiply
    553.25x = 830.50 × 539.89
  4. Step 4: Simplify right side
    553.25x = 448,375.22
  5. Step 5: Solve for x
    x = 448,375.22/553.25
  6. Step 6: Final answer
    x = 810.44

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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.