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Finding the Fourth Proportional to 417.34, 575.24 and 382.48

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Solution

The fourth proportional to 417.34, 575.24 and 382.48 is: 527.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.34 : 575.24 = 382.48 : x
  2. Step 2: Convert to fraction form
    417.34/575.24 = 382.48/x
  3. Step 3: Cross multiply
    417.34x = 575.24 × 382.48
  4. Step 4: Simplify right side
    417.34x = 220,017.80
  5. Step 5: Solve for x
    x = 220,017.80/417.34
  6. Step 6: Final answer
    x = 527.19

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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.