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Finding the Fourth Proportional to 436.48, 650.34 and 409.12

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Solution

The fourth proportional to 436.48, 650.34 and 409.12 is: 609.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.48 : 650.34 = 409.12 : x
  2. Step 2: Convert to fraction form
    436.48/650.34 = 409.12/x
  3. Step 3: Cross multiply
    436.48x = 650.34 × 409.12
  4. Step 4: Simplify right side
    436.48x = 266,067.10
  5. Step 5: Solve for x
    x = 266,067.10/436.48
  6. Step 6: Final answer
    x = 609.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.