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Finding the Fourth Proportional to 862.05, 1,292.43 and 536.43

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Solution

The fourth proportional to 862.05, 1,292.43 and 536.43 is: 804.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.05 : 1,292.43 = 536.43 : x
  2. Step 2: Convert to fraction form
    862.05/1,292.43 = 536.43/x
  3. Step 3: Cross multiply
    862.05x = 1,292.43 × 536.43
  4. Step 4: Simplify right side
    862.05x = 693,298.22
  5. Step 5: Solve for x
    x = 693,298.22/862.05
  6. Step 6: Final answer
    x = 804.24

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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.