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Finding the Fourth Proportional to 833.07, 1,141.30 and 801.91

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Solution

The fourth proportional to 833.07, 1,141.30 and 801.91 is: 1,098.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.07 : 1,141.30 = 801.91 : x
  2. Step 2: Convert to fraction form
    833.07/1,141.30 = 801.91/x
  3. Step 3: Cross multiply
    833.07x = 1,141.30 × 801.91
  4. Step 4: Simplify right side
    833.07x = 915,215.87
  5. Step 5: Solve for x
    x = 915,215.87/833.07
  6. Step 6: Final answer
    x = 1,098.61

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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.