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Finding the Fourth Proportional to 665.48, 917.96 and 516.24

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Solution

The fourth proportional to 665.48, 917.96 and 516.24 is: 712.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.48 : 917.96 = 516.24 : x
  2. Step 2: Convert to fraction form
    665.48/917.96 = 516.24/x
  3. Step 3: Cross multiply
    665.48x = 917.96 × 516.24
  4. Step 4: Simplify right side
    665.48x = 473,885.09
  5. Step 5: Solve for x
    x = 473,885.09/665.48
  6. Step 6: Final answer
    x = 712.09

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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.