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Finding the Fourth Proportional to 553.70, 829.07 and 438.38

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Solution

The fourth proportional to 553.70, 829.07 and 438.38 is: 656.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.70 : 829.07 = 438.38 : x
  2. Step 2: Convert to fraction form
    553.70/829.07 = 438.38/x
  3. Step 3: Cross multiply
    553.70x = 829.07 × 438.38
  4. Step 4: Simplify right side
    553.70x = 363,441.37
  5. Step 5: Solve for x
    x = 363,441.37/553.70
  6. Step 6: Final answer
    x = 656.39

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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.