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Finding the Fourth Proportional to 669.79, 922.82 and 492.40

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Solution

The fourth proportional to 669.79, 922.82 and 492.40 is: 678.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.79 : 922.82 = 492.40 : x
  2. Step 2: Convert to fraction form
    669.79/922.82 = 492.40/x
  3. Step 3: Cross multiply
    669.79x = 922.82 × 492.40
  4. Step 4: Simplify right side
    669.79x = 454,396.57
  5. Step 5: Solve for x
    x = 454,396.57/669.79
  6. Step 6: Final answer
    x = 678.42

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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.