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Finding the Fourth Proportional to 536.79, 804.65 and 211.83

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Solution

The fourth proportional to 536.79, 804.65 and 211.83 is: 317.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.79 : 804.65 = 211.83 : x
  2. Step 2: Convert to fraction form
    536.79/804.65 = 211.83/x
  3. Step 3: Cross multiply
    536.79x = 804.65 × 211.83
  4. Step 4: Simplify right side
    536.79x = 170,447.95
  5. Step 5: Solve for x
    x = 170,447.95/536.79
  6. Step 6: Final answer
    x = 317.53

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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.