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Finding the Fourth Proportional to 573.86, 864.44 and 516.90

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Solution

The fourth proportional to 573.86, 864.44 and 516.90 is: 778.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.86 : 864.44 = 516.90 : x
  2. Step 2: Convert to fraction form
    573.86/864.44 = 516.90/x
  3. Step 3: Cross multiply
    573.86x = 864.44 × 516.90
  4. Step 4: Simplify right side
    573.86x = 446,829.04
  5. Step 5: Solve for x
    x = 446,829.04/573.86
  6. Step 6: Final answer
    x = 778.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.