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Finding the Fourth Proportional to 665.20, 993.38 and 574.12

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Solution

The fourth proportional to 665.20, 993.38 and 574.12 is: 857.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.20 : 993.38 = 574.12 : x
  2. Step 2: Convert to fraction form
    665.20/993.38 = 574.12/x
  3. Step 3: Cross multiply
    665.20x = 993.38 × 574.12
  4. Step 4: Simplify right side
    665.20x = 570,319.33
  5. Step 5: Solve for x
    x = 570,319.33/665.20
  6. Step 6: Final answer
    x = 857.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.