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Finding the Fourth Proportional to 606, 830.76 and 573.60

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Solution

The fourth proportional to 606, 830.76 and 573.60 is: 786.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    606 : 830.76 = 573.60 : x
  2. Step 2: Convert to fraction form
    606/830.76 = 573.60/x
  3. Step 3: Cross multiply
    606x = 830.76 × 573.60
  4. Step 4: Simplify right side
    606x = 476,523.94
  5. Step 5: Solve for x
    x = 476,523.94/606
  6. Step 6: Final answer
    x = 786.34

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.