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Finding the Fourth Proportional to 492.76, 678.88 and 409.61

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Solution

The fourth proportional to 492.76, 678.88 and 409.61 is: 564.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.76 : 678.88 = 409.61 : x
  2. Step 2: Convert to fraction form
    492.76/678.88 = 409.61/x
  3. Step 3: Cross multiply
    492.76x = 678.88 × 409.61
  4. Step 4: Simplify right side
    492.76x = 278,074.43
  5. Step 5: Solve for x
    x = 278,074.43/492.76
  6. Step 6: Final answer
    x = 564.32

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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.