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Finding the Fourth Proportional to 829.52, 1,134.58 and 816.08

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Solution

The fourth proportional to 829.52, 1,134.58 and 816.08 is: 1,116.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.52 : 1,134.58 = 816.08 : x
  2. Step 2: Convert to fraction form
    829.52/1,134.58 = 816.08/x
  3. Step 3: Cross multiply
    829.52x = 1,134.58 × 816.08
  4. Step 4: Simplify right side
    829.52x = 925,908.05
  5. Step 5: Solve for x
    x = 925,908.05/829.52
  6. Step 6: Final answer
    x = 1,116.20

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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.