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Finding the Fourth Proportional to 536.52, 800.43 and 454.44

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Solution

The fourth proportional to 536.52, 800.43 and 454.44 is: 677.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.52 : 800.43 = 454.44 : x
  2. Step 2: Convert to fraction form
    536.52/800.43 = 454.44/x
  3. Step 3: Cross multiply
    536.52x = 800.43 × 454.44
  4. Step 4: Simplify right side
    536.52x = 363,747.41
  5. Step 5: Solve for x
    x = 363,747.41/536.52
  6. Step 6: Final answer
    x = 677.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.