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Finding the Fourth Proportional to 637.07, 878.34 and 412.61

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Solution

The fourth proportional to 637.07, 878.34 and 412.61 is: 568.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.07 : 878.34 = 412.61 : x
  2. Step 2: Convert to fraction form
    637.07/878.34 = 412.61/x
  3. Step 3: Cross multiply
    637.07x = 878.34 × 412.61
  4. Step 4: Simplify right side
    637.07x = 362,405.41
  5. Step 5: Solve for x
    x = 362,405.41/637.07
  6. Step 6: Final answer
    x = 568.86

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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.