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Finding the Fourth Proportional to 637.44, 878.83 and 460.25

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Solution

The fourth proportional to 637.44, 878.83 and 460.25 is: 634.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.44 : 878.83 = 460.25 : x
  2. Step 2: Convert to fraction form
    637.44/878.83 = 460.25/x
  3. Step 3: Cross multiply
    637.44x = 878.83 × 460.25
  4. Step 4: Simplify right side
    637.44x = 404,482.55
  5. Step 5: Solve for x
    x = 404,482.55/637.44
  6. Step 6: Final answer
    x = 634.54

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1.5x scale

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.