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Finding the Fourth Proportional to 436.18, 650.78 and 415.54

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Solution

The fourth proportional to 436.18, 650.78 and 415.54 is: 619.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.18 : 650.78 = 415.54 : x
  2. Step 2: Convert to fraction form
    436.18/650.78 = 415.54/x
  3. Step 3: Cross multiply
    436.18x = 650.78 × 415.54
  4. Step 4: Simplify right side
    436.18x = 270,425.12
  5. Step 5: Solve for x
    x = 270,425.12/436.18
  6. Step 6: Final answer
    x = 619.99

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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.