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Finding the Fourth Proportional to 521.44, 709.96 and 519.82

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Solution

The fourth proportional to 521.44, 709.96 and 519.82 is: 707.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.44 : 709.96 = 519.82 : x
  2. Step 2: Convert to fraction form
    521.44/709.96 = 519.82/x
  3. Step 3: Cross multiply
    521.44x = 709.96 × 519.82
  4. Step 4: Simplify right side
    521.44x = 369,051.41
  5. Step 5: Solve for x
    x = 369,051.41/521.44
  6. Step 6: Final answer
    x = 707.75

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.