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Finding the Fourth Proportional to 829.53, 1,138.08 and 807.96

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Solution

The fourth proportional to 829.53, 1,138.08 and 807.96 is: 1,108.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.53 : 1,138.08 = 807.96 : x
  2. Step 2: Convert to fraction form
    829.53/1,138.08 = 807.96/x
  3. Step 3: Cross multiply
    829.53x = 1,138.08 × 807.96
  4. Step 4: Simplify right side
    829.53x = 919,523.12
  5. Step 5: Solve for x
    x = 919,523.12/829.53
  6. Step 6: Final answer
    x = 1,108.49

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.