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Finding the Fourth Proportional to 536.25, 802.81 and 433.73

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Solution

The fourth proportional to 536.25, 802.81 and 433.73 is: 649.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.25 : 802.81 = 433.73 : x
  2. Step 2: Convert to fraction form
    536.25/802.81 = 433.73/x
  3. Step 3: Cross multiply
    536.25x = 802.81 × 433.73
  4. Step 4: Simplify right side
    536.25x = 348,205.33
  5. Step 5: Solve for x
    x = 348,205.33/536.25
  6. Step 6: Final answer
    x = 649.33

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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.