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Finding the Fourth Proportional to 553.92, 765.36 and 438.36

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Solution

The fourth proportional to 553.92, 765.36 and 438.36 is: 605.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.92 : 765.36 = 438.36 : x
  2. Step 2: Convert to fraction form
    553.92/765.36 = 438.36/x
  3. Step 3: Cross multiply
    553.92x = 765.36 × 438.36
  4. Step 4: Simplify right side
    553.92x = 335,503.21
  5. Step 5: Solve for x
    x = 335,503.21/553.92
  6. Step 6: Final answer
    x = 605.69

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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.