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Finding the Fourth Proportional to 491.43, 677.39 and 408.81

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Solution

The fourth proportional to 491.43, 677.39 and 408.81 is: 563.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.43 : 677.39 = 408.81 : x
  2. Step 2: Convert to fraction form
    491.43/677.39 = 408.81/x
  3. Step 3: Cross multiply
    491.43x = 677.39 × 408.81
  4. Step 4: Simplify right side
    491.43x = 276,921.76
  5. Step 5: Solve for x
    x = 276,921.76/491.43
  6. Step 6: Final answer
    x = 563.50

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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.