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Finding the Fourth Proportional to 843.06, 1,263.73 and 534.32

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Solution

The fourth proportional to 843.06, 1,263.73 and 534.32 is: 800.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.06 : 1,263.73 = 534.32 : x
  2. Step 2: Convert to fraction form
    843.06/1,263.73 = 534.32/x
  3. Step 3: Cross multiply
    843.06x = 1,263.73 × 534.32
  4. Step 4: Simplify right side
    843.06x = 675,236.21
  5. Step 5: Solve for x
    x = 675,236.21/843.06
  6. Step 6: Final answer
    x = 800.93

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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.