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Finding the Fourth Proportional to 713.50, 984.09 and 492.82

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Solution

The fourth proportional to 713.50, 984.09 and 492.82 is: 679.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.50 : 984.09 = 492.82 : x
  2. Step 2: Convert to fraction form
    713.50/984.09 = 492.82/x
  3. Step 3: Cross multiply
    713.50x = 984.09 × 492.82
  4. Step 4: Simplify right side
    713.50x = 484,979.23
  5. Step 5: Solve for x
    x = 484,979.23/713.50
  6. Step 6: Final answer
    x = 679.72

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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.