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Finding the Fourth Proportional to 713.82, 984.09 and 492.39

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Solution

The fourth proportional to 713.82, 984.09 and 492.39 is: 678.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.82 : 984.09 = 492.39 : x
  2. Step 2: Convert to fraction form
    713.82/984.09 = 492.39/x
  3. Step 3: Cross multiply
    713.82x = 984.09 × 492.39
  4. Step 4: Simplify right side
    713.82x = 484,556.08
  5. Step 5: Solve for x
    x = 484,556.08/713.82
  6. Step 6: Final answer
    x = 678.82

Related Problems

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Half scale
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Double scale
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1.5x scale

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.