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Finding the Fourth Proportional to 538.88, 741.56 and 521.06

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Solution

The fourth proportional to 538.88, 741.56 and 521.06 is: 717.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.88 : 741.56 = 521.06 : x
  2. Step 2: Convert to fraction form
    538.88/741.56 = 521.06/x
  3. Step 3: Cross multiply
    538.88x = 741.56 × 521.06
  4. Step 4: Simplify right side
    538.88x = 386,390.94
  5. Step 5: Solve for x
    x = 386,390.94/538.88
  6. Step 6: Final answer
    x = 717.03

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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.