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Finding the Fourth Proportional to 538.20, 742.49 and 317.07

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Solution

The fourth proportional to 538.20, 742.49 and 317.07 is: 437.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.20 : 742.49 = 317.07 : x
  2. Step 2: Convert to fraction form
    538.20/742.49 = 317.07/x
  3. Step 3: Cross multiply
    538.20x = 742.49 × 317.07
  4. Step 4: Simplify right side
    538.20x = 235,419.72
  5. Step 5: Solve for x
    x = 235,419.72/538.20
  6. Step 6: Final answer
    x = 437.42

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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.