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Finding the Fourth Proportional to 575.34, 793.13 and 409.49

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Solution

The fourth proportional to 575.34, 793.13 and 409.49 is: 564.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.34 : 793.13 = 409.49 : x
  2. Step 2: Convert to fraction form
    575.34/793.13 = 409.49/x
  3. Step 3: Cross multiply
    575.34x = 793.13 × 409.49
  4. Step 4: Simplify right side
    575.34x = 324,778.80
  5. Step 5: Solve for x
    x = 324,778.80/575.34
  6. Step 6: Final answer
    x = 564.50

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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.