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Finding the Fourth Proportional to 528.36, 791.68 and 384.16

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Solution

The fourth proportional to 528.36, 791.68 and 384.16 is: 575.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.36 : 791.68 = 384.16 : x
  2. Step 2: Convert to fraction form
    528.36/791.68 = 384.16/x
  3. Step 3: Cross multiply
    528.36x = 791.68 × 384.16
  4. Step 4: Simplify right side
    528.36x = 304,131.79
  5. Step 5: Solve for x
    x = 304,131.79/528.36
  6. Step 6: Final answer
    x = 575.61

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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.