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Finding the Fourth Proportional to 783.03, 1,175.00 and 320.73

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Solution

The fourth proportional to 783.03, 1,175.00 and 320.73 is: 481.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.03 : 1,175.00 = 320.73 : x
  2. Step 2: Convert to fraction form
    783.03/1,175.00 = 320.73/x
  3. Step 3: Cross multiply
    783.03x = 1,175.00 × 320.73
  4. Step 4: Simplify right side
    783.03x = 376,856.15
  5. Step 5: Solve for x
    x = 376,856.15/783.03
  6. Step 6: Final answer
    x = 481.28

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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.