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Finding the Fourth Proportional to 536.37, 800.22 and 458.43

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Solution

The fourth proportional to 536.37, 800.22 and 458.43 is: 683.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.37 : 800.22 = 458.43 : x
  2. Step 2: Convert to fraction form
    536.37/800.22 = 458.43/x
  3. Step 3: Cross multiply
    536.37x = 800.22 × 458.43
  4. Step 4: Simplify right side
    536.37x = 366,844.85
  5. Step 5: Solve for x
    x = 366,844.85/536.37
  6. Step 6: Final answer
    x = 683.94

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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.