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Finding the Fourth Proportional to 883.46, 1,323.56 and 843.50

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Solution

The fourth proportional to 883.46, 1,323.56 and 843.50 is: 1,263.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.46 : 1,323.56 = 843.50 : x
  2. Step 2: Convert to fraction form
    883.46/1,323.56 = 843.50/x
  3. Step 3: Cross multiply
    883.46x = 1,323.56 × 843.50
  4. Step 4: Simplify right side
    883.46x = 1,116,422.86
  5. Step 5: Solve for x
    x = 1,116,422.86/883.46
  6. Step 6: Final answer
    x = 1,263.69

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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.