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Finding the Fourth Proportional to 491.06, 677.61 and 284.06

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Solution

The fourth proportional to 491.06, 677.61 and 284.06 is: 391.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.06 : 677.61 = 284.06 : x
  2. Step 2: Convert to fraction form
    491.06/677.61 = 284.06/x
  3. Step 3: Cross multiply
    491.06x = 677.61 × 284.06
  4. Step 4: Simplify right side
    491.06x = 192,481.90
  5. Step 5: Solve for x
    x = 192,481.90/491.06
  6. Step 6: Final answer
    x = 391.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.