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Finding the Fourth Proportional to 436.04, 654.13 and 274.85

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Solution

The fourth proportional to 436.04, 654.13 and 274.85 is: 412.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.04 : 654.13 = 274.85 : x
  2. Step 2: Convert to fraction form
    436.04/654.13 = 274.85/x
  3. Step 3: Cross multiply
    436.04x = 654.13 × 274.85
  4. Step 4: Simplify right side
    436.04x = 179,789.61
  5. Step 5: Solve for x
    x = 179,789.61/436.04
  6. Step 6: Final answer
    x = 412.32

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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.