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Finding the Fourth Proportional to 536.65, 740.54 and 323.96

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Solution

The fourth proportional to 536.65, 740.54 and 323.96 is: 447.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.65 : 740.54 = 323.96 : x
  2. Step 2: Convert to fraction form
    536.65/740.54 = 323.96/x
  3. Step 3: Cross multiply
    536.65x = 740.54 × 323.96
  4. Step 4: Simplify right side
    536.65x = 239,907.65
  5. Step 5: Solve for x
    x = 239,907.65/536.65
  6. Step 6: Final answer
    x = 447.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.