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Finding the Fourth Proportional to 574.99, 793.05 and 398.25

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Solution

The fourth proportional to 574.99, 793.05 and 398.25 is: 549.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.99 : 793.05 = 398.25 : x
  2. Step 2: Convert to fraction form
    574.99/793.05 = 398.25/x
  3. Step 3: Cross multiply
    574.99x = 793.05 × 398.25
  4. Step 4: Simplify right side
    574.99x = 315,832.16
  5. Step 5: Solve for x
    x = 315,832.16/574.99
  6. Step 6: Final answer
    x = 549.29

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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.