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Finding the Fourth Proportional to 536.71, 803.24 and 450.14

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Solution

The fourth proportional to 536.71, 803.24 and 450.14 is: 673.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.71 : 803.24 = 450.14 : x
  2. Step 2: Convert to fraction form
    536.71/803.24 = 450.14/x
  3. Step 3: Cross multiply
    536.71x = 803.24 × 450.14
  4. Step 4: Simplify right side
    536.71x = 361,568.20
  5. Step 5: Solve for x
    x = 361,568.20/536.71
  6. Step 6: Final answer
    x = 673.68

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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.