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Finding the Fourth Proportional to 436.58, 654.87 and 274.38

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Solution

The fourth proportional to 436.58, 654.87 and 274.38 is: 411.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.58 : 654.87 = 274.38 : x
  2. Step 2: Convert to fraction form
    436.58/654.87 = 274.38/x
  3. Step 3: Cross multiply
    436.58x = 654.87 × 274.38
  4. Step 4: Simplify right side
    436.58x = 179,683.23
  5. Step 5: Solve for x
    x = 179,683.23/436.58
  6. Step 6: Final answer
    x = 411.57

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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.