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Finding the Fourth Proportional to 536.68, 740.39 and 326.71

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Solution

The fourth proportional to 536.68, 740.39 and 326.71 is: 450.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.68 : 740.39 = 326.71 : x
  2. Step 2: Convert to fraction form
    536.68/740.39 = 326.71/x
  3. Step 3: Cross multiply
    536.68x = 740.39 × 326.71
  4. Step 4: Simplify right side
    536.68x = 241,891.86
  5. Step 5: Solve for x
    x = 241,891.86/536.68
  6. Step 6: Final answer
    x = 450.72

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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.