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Finding the Fourth Proportional to 538.61, 742.25 and 383.09

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Solution

The fourth proportional to 538.61, 742.25 and 383.09 is: 527.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.61 : 742.25 = 383.09 : x
  2. Step 2: Convert to fraction form
    538.61/742.25 = 383.09/x
  3. Step 3: Cross multiply
    538.61x = 742.25 × 383.09
  4. Step 4: Simplify right side
    538.61x = 284,346.64
  5. Step 5: Solve for x
    x = 284,346.64/538.61
  6. Step 6: Final answer
    x = 527.93

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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.