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Finding the Fourth Proportional to 536.49, 803.42 and 381.68

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Solution

The fourth proportional to 536.49, 803.42 and 381.68 is: 571.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.49 : 803.42 = 381.68 : x
  2. Step 2: Convert to fraction form
    536.49/803.42 = 381.68/x
  3. Step 3: Cross multiply
    536.49x = 803.42 × 381.68
  4. Step 4: Simplify right side
    536.49x = 306,647.86
  5. Step 5: Solve for x
    x = 306,647.86/536.49
  6. Step 6: Final answer
    x = 571.58

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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.