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Finding the Fourth Proportional to 783.47, 1,174.30 and 321.03

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Solution

The fourth proportional to 783.47, 1,174.30 and 321.03 is: 481.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.47 : 1,174.30 = 321.03 : x
  2. Step 2: Convert to fraction form
    783.47/1,174.30 = 321.03/x
  3. Step 3: Cross multiply
    783.47x = 1,174.30 × 321.03
  4. Step 4: Simplify right side
    783.47x = 376,984.73
  5. Step 5: Solve for x
    x = 376,984.73/783.47
  6. Step 6: Final answer
    x = 481.17

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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.