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Finding the Fourth Proportional to 637.63, 879.90 and 416.15

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Solution

The fourth proportional to 637.63, 879.90 and 416.15 is: 574.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.63 : 879.90 = 416.15 : x
  2. Step 2: Convert to fraction form
    637.63/879.90 = 416.15/x
  3. Step 3: Cross multiply
    637.63x = 879.90 × 416.15
  4. Step 4: Simplify right side
    637.63x = 366,170.39
  5. Step 5: Solve for x
    x = 366,170.39/637.63
  6. Step 6: Final answer
    x = 574.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.