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Finding the Fourth Proportional to 712.24, 983.24 and 516.20

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Solution

The fourth proportional to 712.24, 983.24 and 516.20 is: 712.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.24 : 983.24 = 516.20 : x
  2. Step 2: Convert to fraction form
    712.24/983.24 = 516.20/x
  3. Step 3: Cross multiply
    712.24x = 983.24 × 516.20
  4. Step 4: Simplify right side
    712.24x = 507,548.49
  5. Step 5: Solve for x
    x = 507,548.49/712.24
  6. Step 6: Final answer
    x = 712.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.