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Finding the Fourth Proportional to 638.58, 880.10 and 491.57

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Solution

The fourth proportional to 638.58, 880.10 and 491.57 is: 677.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.58 : 880.10 = 491.57 : x
  2. Step 2: Convert to fraction form
    638.58/880.10 = 491.57/x
  3. Step 3: Cross multiply
    638.58x = 880.10 × 491.57
  4. Step 4: Simplify right side
    638.58x = 432,629.04
  5. Step 5: Solve for x
    x = 432,629.04/638.58
  6. Step 6: Final answer
    x = 677.48

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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.