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Finding the Fourth Proportional to 492.79, 680.09 and 283

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Solution

The fourth proportional to 492.79, 680.09 and 283 is: 390.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.79 : 680.09 = 283 : x
  2. Step 2: Convert to fraction form
    492.79/680.09 = 283/x
  3. Step 3: Cross multiply
    492.79x = 680.09 × 283
  4. Step 4: Simplify right side
    492.79x = 192,464.06
  5. Step 5: Solve for x
    x = 192,464.06/492.79
  6. Step 6: Final answer
    x = 390.56

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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.