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Finding the Fourth Proportional to 538.63, 741.21 and 520.81

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Solution

The fourth proportional to 538.63, 741.21 and 520.81 is: 716.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.63 : 741.21 = 520.81 : x
  2. Step 2: Convert to fraction form
    538.63/741.21 = 520.81/x
  3. Step 3: Cross multiply
    538.63x = 741.21 × 520.81
  4. Step 4: Simplify right side
    538.63x = 386,029.58
  5. Step 5: Solve for x
    x = 386,029.58/538.63
  6. Step 6: Final answer
    x = 716.69

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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.