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Finding the Fourth Proportional to 573.48, 857.79 and 516.68

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Solution

The fourth proportional to 573.48, 857.79 and 516.68 is: 772.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.48 : 857.79 = 516.68 : x
  2. Step 2: Convert to fraction form
    573.48/857.79 = 516.68/x
  3. Step 3: Cross multiply
    573.48x = 857.79 × 516.68
  4. Step 4: Simplify right side
    573.48x = 443,201.86
  5. Step 5: Solve for x
    x = 443,201.86/573.48
  6. Step 6: Final answer
    x = 772.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.