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Finding the Fourth Proportional to 528.69, 791.66 and 364.66

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Solution

The fourth proportional to 528.69, 791.66 and 364.66 is: 546.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.69 : 791.66 = 364.66 : x
  2. Step 2: Convert to fraction form
    528.69/791.66 = 364.66/x
  3. Step 3: Cross multiply
    528.69x = 791.66 × 364.66
  4. Step 4: Simplify right side
    528.69x = 288,687.38
  5. Step 5: Solve for x
    x = 288,687.38/528.69
  6. Step 6: Final answer
    x = 546.05

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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.