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Finding the Fourth Proportional to 832.28, 1,241.36 and 817.70

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Solution

The fourth proportional to 832.28, 1,241.36 and 817.70 is: 1,219.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.28 : 1,241.36 = 817.70 : x
  2. Step 2: Convert to fraction form
    832.28/1,241.36 = 817.70/x
  3. Step 3: Cross multiply
    832.28x = 1,241.36 × 817.70
  4. Step 4: Simplify right side
    832.28x = 1,015,060.07
  5. Step 5: Solve for x
    x = 1,015,060.07/832.28
  6. Step 6: Final answer
    x = 1,219.61

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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.