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Finding the Fourth Proportional to 983.03, 1,472.81 and 519.78

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Solution

The fourth proportional to 983.03, 1,472.81 and 519.78 is: 778.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.03 : 1,472.81 = 519.78 : x
  2. Step 2: Convert to fraction form
    983.03/1,472.81 = 519.78/x
  3. Step 3: Cross multiply
    983.03x = 1,472.81 × 519.78
  4. Step 4: Simplify right side
    983.03x = 765,534.58
  5. Step 5: Solve for x
    x = 765,534.58/983.03
  6. Step 6: Final answer
    x = 778.75

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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.