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Finding the Fourth Proportional to 833.56, 1,245.96 and 816.28

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Solution

The fourth proportional to 833.56, 1,245.96 and 816.28 is: 1,220.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.56 : 1,245.96 = 816.28 : x
  2. Step 2: Convert to fraction form
    833.56/1,245.96 = 816.28/x
  3. Step 3: Cross multiply
    833.56x = 1,245.96 × 816.28
  4. Step 4: Simplify right side
    833.56x = 1,017,052.23
  5. Step 5: Solve for x
    x = 1,017,052.23/833.56
  6. Step 6: Final answer
    x = 1,220.13

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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.