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Finding the Fourth Proportional to 833.52, 1,151.10 and 825.06

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Solution

The fourth proportional to 833.52, 1,151.10 and 825.06 is: 1,139.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.52 : 1,151.10 = 825.06 : x
  2. Step 2: Convert to fraction form
    833.52/1,151.10 = 825.06/x
  3. Step 3: Cross multiply
    833.52x = 1,151.10 × 825.06
  4. Step 4: Simplify right side
    833.52x = 949,726.57
  5. Step 5: Solve for x
    x = 949,726.57/833.52
  6. Step 6: Final answer
    x = 1,139.42

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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.