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Finding the Fourth Proportional to 575.46, 794.61 and 379.20

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Solution

The fourth proportional to 575.46, 794.61 and 379.20 is: 523.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.46 : 794.61 = 379.20 : x
  2. Step 2: Convert to fraction form
    575.46/794.61 = 379.20/x
  3. Step 3: Cross multiply
    575.46x = 794.61 × 379.20
  4. Step 4: Simplify right side
    575.46x = 301,316.11
  5. Step 5: Solve for x
    x = 301,316.11/575.46
  6. Step 6: Final answer
    x = 523.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.