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Finding the Fourth Proportional to 553.42, 762.24 and 448.33

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Solution

The fourth proportional to 553.42, 762.24 and 448.33 is: 617.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.42 : 762.24 = 448.33 : x
  2. Step 2: Convert to fraction form
    553.42/762.24 = 448.33/x
  3. Step 3: Cross multiply
    553.42x = 762.24 × 448.33
  4. Step 4: Simplify right side
    553.42x = 341,735.06
  5. Step 5: Solve for x
    x = 341,735.06/553.42
  6. Step 6: Final answer
    x = 617.50

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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.