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Finding the Fourth Proportional to 638.56, 880.82 and 417.51

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Solution

The fourth proportional to 638.56, 880.82 and 417.51 is: 575.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.56 : 880.82 = 417.51 : x
  2. Step 2: Convert to fraction form
    638.56/880.82 = 417.51/x
  3. Step 3: Cross multiply
    638.56x = 880.82 × 417.51
  4. Step 4: Simplify right side
    638.56x = 367,751.16
  5. Step 5: Solve for x
    x = 367,751.16/638.56
  6. Step 6: Final answer
    x = 575.91

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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.