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Finding the Fourth Proportional to 538.62, 810.67 and 459.33

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Solution

The fourth proportional to 538.62, 810.67 and 459.33 is: 691.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.62 : 810.67 = 459.33 : x
  2. Step 2: Convert to fraction form
    538.62/810.67 = 459.33/x
  3. Step 3: Cross multiply
    538.62x = 810.67 × 459.33
  4. Step 4: Simplify right side
    538.62x = 372,365.05
  5. Step 5: Solve for x
    x = 372,365.05/538.62
  6. Step 6: Final answer
    x = 691.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.