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Finding the Fourth Proportional to 553.40, 825.82 and 492.05

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Solution

The fourth proportional to 553.40, 825.82 and 492.05 is: 734.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.40 : 825.82 = 492.05 : x
  2. Step 2: Convert to fraction form
    553.40/825.82 = 492.05/x
  3. Step 3: Cross multiply
    553.40x = 825.82 × 492.05
  4. Step 4: Simplify right side
    553.40x = 406,342.27
  5. Step 5: Solve for x
    x = 406,342.27/553.40
  6. Step 6: Final answer
    x = 734.27

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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.