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Finding the Fourth Proportional to 637.64, 880.40 and 490.04

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Solution

The fourth proportional to 637.64, 880.40 and 490.04 is: 676.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.64 : 880.40 = 490.04 : x
  2. Step 2: Convert to fraction form
    637.64/880.40 = 490.04/x
  3. Step 3: Cross multiply
    637.64x = 880.40 × 490.04
  4. Step 4: Simplify right side
    637.64x = 431,431.22
  5. Step 5: Solve for x
    x = 431,431.22/637.64
  6. Step 6: Final answer
    x = 676.61

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