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Finding the Fourth Proportional to 536.59, 804.99 and 171.47

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Solution

The fourth proportional to 536.59, 804.99 and 171.47 is: 257.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.59 : 804.99 = 171.47 : x
  2. Step 2: Convert to fraction form
    536.59/804.99 = 171.47/x
  3. Step 3: Cross multiply
    536.59x = 804.99 × 171.47
  4. Step 4: Simplify right side
    536.59x = 138,030.78
  5. Step 5: Solve for x
    x = 138,030.78/536.59
  6. Step 6: Final answer
    x = 257.24

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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.