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Finding the Fourth Proportional to 833.08, 1,150.62 and 636.16

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Solution

The fourth proportional to 833.08, 1,150.62 and 636.16 is: 878.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.08 : 1,150.62 = 636.16 : x
  2. Step 2: Convert to fraction form
    833.08/1,150.62 = 636.16/x
  3. Step 3: Cross multiply
    833.08x = 1,150.62 × 636.16
  4. Step 4: Simplify right side
    833.08x = 731,978.42
  5. Step 5: Solve for x
    x = 731,978.42/833.08
  6. Step 6: Final answer
    x = 878.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.