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Finding the Fourth Proportional to 484.44, 729.49 and 348.43

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Solution

The fourth proportional to 484.44, 729.49 and 348.43 is: 524.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.44 : 729.49 = 348.43 : x
  2. Step 2: Convert to fraction form
    484.44/729.49 = 348.43/x
  3. Step 3: Cross multiply
    484.44x = 729.49 × 348.43
  4. Step 4: Simplify right side
    484.44x = 254,174.38
  5. Step 5: Solve for x
    x = 254,174.38/484.44
  6. Step 6: Final answer
    x = 524.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.