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Finding the Fourth Proportional to 783.08, 1,174.62 and 320.75

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Solution

The fourth proportional to 783.08, 1,174.62 and 320.75 is: 481.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.08 : 1,174.62 = 320.75 : x
  2. Step 2: Convert to fraction form
    783.08/1,174.62 = 320.75/x
  3. Step 3: Cross multiply
    783.08x = 1,174.62 × 320.75
  4. Step 4: Simplify right side
    783.08x = 376,759.37
  5. Step 5: Solve for x
    x = 376,759.37/783.08
  6. Step 6: Final answer
    x = 481.13

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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.