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Finding the Fourth Proportional to 409, 564.74 and 317.48

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Solution

The fourth proportional to 409, 564.74 and 317.48 is: 438.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    409 : 564.74 = 317.48 : x
  2. Step 2: Convert to fraction form
    409/564.74 = 317.48/x
  3. Step 3: Cross multiply
    409x = 564.74 × 317.48
  4. Step 4: Simplify right side
    409x = 179,293.66
  5. Step 5: Solve for x
    x = 179,293.66/409
  6. Step 6: Final answer
    x = 438.37

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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.