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Finding the Fourth Proportional to 538.13, 744 and 414.20

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Solution

The fourth proportional to 538.13, 744 and 414.20 is: 572.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.13 : 744 = 414.20 : x
  2. Step 2: Convert to fraction form
    538.13/744 = 414.20/x
  3. Step 3: Cross multiply
    538.13x = 744 × 414.20
  4. Step 4: Simplify right side
    538.13x = 308,161.08
  5. Step 5: Solve for x
    x = 308,161.08/538.13
  6. Step 6: Final answer
    x = 572.66

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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.