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Finding the Fourth Proportional to 681.32, 1,022.34 and 519.98

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Solution

The fourth proportional to 681.32, 1,022.34 and 519.98 is: 780.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.32 : 1,022.34 = 519.98 : x
  2. Step 2: Convert to fraction form
    681.32/1,022.34 = 519.98/x
  3. Step 3: Cross multiply
    681.32x = 1,022.34 × 519.98
  4. Step 4: Simplify right side
    681.32x = 531,596.35
  5. Step 5: Solve for x
    x = 531,596.35/681.32
  6. Step 6: Final answer
    x = 780.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.