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Finding the Fourth Proportional to 492.47, 678.97 and 403.62

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Solution

The fourth proportional to 492.47, 678.97 and 403.62 is: 556.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.47 : 678.97 = 403.62 : x
  2. Step 2: Convert to fraction form
    492.47/678.97 = 403.62/x
  3. Step 3: Cross multiply
    492.47x = 678.97 × 403.62
  4. Step 4: Simplify right side
    492.47x = 274,046.13
  5. Step 5: Solve for x
    x = 274,046.13/492.47
  6. Step 6: Final answer
    x = 556.48

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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.