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Finding the Fourth Proportional to 417.72, 575.50 and 324.13

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Solution

The fourth proportional to 417.72, 575.50 and 324.13 is: 446.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.72 : 575.50 = 324.13 : x
  2. Step 2: Convert to fraction form
    417.72/575.50 = 324.13/x
  3. Step 3: Cross multiply
    417.72x = 575.50 × 324.13
  4. Step 4: Simplify right side
    417.72x = 186,536.82
  5. Step 5: Solve for x
    x = 186,536.82/417.72
  6. Step 6: Final answer
    x = 446.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.