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Finding the Fourth Proportional to 712.71, 983.79 and 492.21

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Solution

The fourth proportional to 712.71, 983.79 and 492.21 is: 679.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.71 : 983.79 = 492.21 : x
  2. Step 2: Convert to fraction form
    712.71/983.79 = 492.21/x
  3. Step 3: Cross multiply
    712.71x = 983.79 × 492.21
  4. Step 4: Simplify right side
    712.71x = 484,231.28
  5. Step 5: Solve for x
    x = 484,231.28/712.71
  6. Step 6: Final answer
    x = 679.42

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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.