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Finding the Fourth Proportional to 713.20, 982.20 and 516.40

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Solution

The fourth proportional to 713.20, 982.20 and 516.40 is: 711.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.20 : 982.20 = 516.40 : x
  2. Step 2: Convert to fraction form
    713.20/982.20 = 516.40/x
  3. Step 3: Cross multiply
    713.20x = 982.20 × 516.40
  4. Step 4: Simplify right side
    713.20x = 507,208.08
  5. Step 5: Solve for x
    x = 507,208.08/713.20
  6. Step 6: Final answer
    x = 711.17

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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.