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Finding the Fourth Proportional to 455.28, 685.38 and 415.60

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Solution

The fourth proportional to 455.28, 685.38 and 415.60 is: 625.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.28 : 685.38 = 415.60 : x
  2. Step 2: Convert to fraction form
    455.28/685.38 = 415.60/x
  3. Step 3: Cross multiply
    455.28x = 685.38 × 415.60
  4. Step 4: Simplify right side
    455.28x = 284,843.93
  5. Step 5: Solve for x
    x = 284,843.93/455.28
  6. Step 6: Final answer
    x = 625.65

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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.