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Finding the Fourth Proportional to 538.48, 743 and 317.48

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Solution

The fourth proportional to 538.48, 743 and 317.48 is: 438.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.48 : 743 = 317.48 : x
  2. Step 2: Convert to fraction form
    538.48/743 = 317.48/x
  3. Step 3: Cross multiply
    538.48x = 743 × 317.48
  4. Step 4: Simplify right side
    538.48x = 235,887.64
  5. Step 5: Solve for x
    x = 235,887.64/538.48
  6. Step 6: Final answer
    x = 438.06

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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.