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Finding the Fourth Proportional to 574.67, 793.16 and 378.18

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Solution

The fourth proportional to 574.67, 793.16 and 378.18 is: 521.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.67 : 793.16 = 378.18 : x
  2. Step 2: Convert to fraction form
    574.67/793.16 = 378.18/x
  3. Step 3: Cross multiply
    574.67x = 793.16 × 378.18
  4. Step 4: Simplify right side
    574.67x = 299,957.25
  5. Step 5: Solve for x
    x = 299,957.25/574.67
  6. Step 6: Final answer
    x = 521.96

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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.