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Finding the Fourth Proportional to 536.73, 800.38 and 532.09

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Solution

The fourth proportional to 536.73, 800.38 and 532.09 is: 793.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.73 : 800.38 = 532.09 : x
  2. Step 2: Convert to fraction form
    536.73/800.38 = 532.09/x
  3. Step 3: Cross multiply
    536.73x = 800.38 × 532.09
  4. Step 4: Simplify right side
    536.73x = 425,878.11
  5. Step 5: Solve for x
    x = 425,878.11/536.73
  6. Step 6: Final answer
    x = 793.47

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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.