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Finding the Fourth Proportional to 637.61, 879.76 and 416.88

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Solution

The fourth proportional to 637.61, 879.76 and 416.88 is: 575.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.61 : 879.76 = 416.88 : x
  2. Step 2: Convert to fraction form
    637.61/879.76 = 416.88/x
  3. Step 3: Cross multiply
    637.61x = 879.76 × 416.88
  4. Step 4: Simplify right side
    637.61x = 366,754.35
  5. Step 5: Solve for x
    x = 366,754.35/637.61
  6. Step 6: Final answer
    x = 575.21

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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.