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Finding the Fourth Proportional to 713.16, 984.22 and 492.23

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Solution

The fourth proportional to 713.16, 984.22 and 492.23 is: 679.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.16 : 984.22 = 492.23 : x
  2. Step 2: Convert to fraction form
    713.16/984.22 = 492.23/x
  3. Step 3: Cross multiply
    713.16x = 984.22 × 492.23
  4. Step 4: Simplify right side
    713.16x = 484,463.84
  5. Step 5: Solve for x
    x = 484,463.84/713.16
  6. Step 6: Final answer
    x = 679.32

Related Problems

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Half scale
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Double scale
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Similar ratio
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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.