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Finding the Fourth Proportional to 538.49, 805.91 and 417.31

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Solution

The fourth proportional to 538.49, 805.91 and 417.31 is: 624.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.49 : 805.91 = 417.31 : x
  2. Step 2: Convert to fraction form
    538.49/805.91 = 417.31/x
  3. Step 3: Cross multiply
    538.49x = 805.91 × 417.31
  4. Step 4: Simplify right side
    538.49x = 336,310.20
  5. Step 5: Solve for x
    x = 336,310.20/538.49
  6. Step 6: Final answer
    x = 624.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.