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Finding the Fourth Proportional to 575.43, 793.16 and 398.66

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Solution

The fourth proportional to 575.43, 793.16 and 398.66 is: 549.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.43 : 793.16 = 398.66 : x
  2. Step 2: Convert to fraction form
    575.43/793.16 = 398.66/x
  3. Step 3: Cross multiply
    575.43x = 793.16 × 398.66
  4. Step 4: Simplify right side
    575.43x = 316,195.21
  5. Step 5: Solve for x
    x = 316,195.21/575.43
  6. Step 6: Final answer
    x = 549.49

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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.