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Finding the Fourth Proportional to 417.15, 571.48 and 401.57

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Solution

The fourth proportional to 417.15, 571.48 and 401.57 is: 550.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.15 : 571.48 = 401.57 : x
  2. Step 2: Convert to fraction form
    417.15/571.48 = 401.57/x
  3. Step 3: Cross multiply
    417.15x = 571.48 × 401.57
  4. Step 4: Simplify right side
    417.15x = 229,489.22
  5. Step 5: Solve for x
    x = 229,489.22/417.15
  6. Step 6: Final answer
    x = 550.14

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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.