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Finding the Fourth Proportional to 538.68, 811.62 and 487.38

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Solution

The fourth proportional to 538.68, 811.62 and 487.38 is: 734.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.68 : 811.62 = 487.38 : x
  2. Step 2: Convert to fraction form
    538.68/811.62 = 487.38/x
  3. Step 3: Cross multiply
    538.68x = 811.62 × 487.38
  4. Step 4: Simplify right side
    538.68x = 395,567.36
  5. Step 5: Solve for x
    x = 395,567.36/538.68
  6. Step 6: Final answer
    x = 734.33

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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.