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Finding the Fourth Proportional to 982.32, 1,472.78 and 519.72

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Solution

The fourth proportional to 982.32, 1,472.78 and 519.72 is: 779.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.32 : 1,472.78 = 519.72 : x
  2. Step 2: Convert to fraction form
    982.32/1,472.78 = 519.72/x
  3. Step 3: Cross multiply
    982.32x = 1,472.78 × 519.72
  4. Step 4: Simplify right side
    982.32x = 765,433.22
  5. Step 5: Solve for x
    x = 765,433.22/982.32
  6. Step 6: Final answer
    x = 779.21

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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.