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Finding the Fourth Proportional to 637.15, 878.71 and 460.07

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Solution

The fourth proportional to 637.15, 878.71 and 460.07 is: 634.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.15 : 878.71 = 460.07 : x
  2. Step 2: Convert to fraction form
    637.15/878.71 = 460.07/x
  3. Step 3: Cross multiply
    637.15x = 878.71 × 460.07
  4. Step 4: Simplify right side
    637.15x = 404,268.11
  5. Step 5: Solve for x
    x = 404,268.11/637.15
  6. Step 6: Final answer
    x = 634.49

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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.