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Finding the Fourth Proportional to 637.64, 880.16 and 490.08

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Solution

The fourth proportional to 637.64, 880.16 and 490.08 is: 676.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.64 : 880.16 = 490.08 : x
  2. Step 2: Convert to fraction form
    637.64/880.16 = 490.08/x
  3. Step 3: Cross multiply
    637.64x = 880.16 × 490.08
  4. Step 4: Simplify right side
    637.64x = 431,348.81
  5. Step 5: Solve for x
    x = 431,348.81/637.64
  6. Step 6: Final answer
    x = 676.48

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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.