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Finding the Fourth Proportional to 491.31, 677.25 and 397.62

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Solution

The fourth proportional to 491.31, 677.25 and 397.62 is: 548.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.31 : 677.25 = 397.62 : x
  2. Step 2: Convert to fraction form
    491.31/677.25 = 397.62/x
  3. Step 3: Cross multiply
    491.31x = 677.25 × 397.62
  4. Step 4: Simplify right side
    491.31x = 269,288.15
  5. Step 5: Solve for x
    x = 269,288.15/491.31
  6. Step 6: Final answer
    x = 548.10

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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.