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Finding the Fourth Proportional to 528.51, 791.96 and 311.85

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Solution

The fourth proportional to 528.51, 791.96 and 311.85 is: 467.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.51 : 791.96 = 311.85 : x
  2. Step 2: Convert to fraction form
    528.51/791.96 = 311.85/x
  3. Step 3: Cross multiply
    528.51x = 791.96 × 311.85
  4. Step 4: Simplify right side
    528.51x = 246,971.17
  5. Step 5: Solve for x
    x = 246,971.17/528.51
  6. Step 6: Final answer
    x = 467.30

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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.