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Finding the Fourth Proportional to 416.81, 571.03 and 401.24

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Solution

The fourth proportional to 416.81, 571.03 and 401.24 is: 549.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.81 : 571.03 = 401.24 : x
  2. Step 2: Convert to fraction form
    416.81/571.03 = 401.24/x
  3. Step 3: Cross multiply
    416.81x = 571.03 × 401.24
  4. Step 4: Simplify right side
    416.81x = 229,120.08
  5. Step 5: Solve for x
    x = 229,120.08/416.81
  6. Step 6: Final answer
    x = 549.70

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.