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Finding the Fourth Proportional to 833.67, 1,250.54 and 286.23

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Solution

The fourth proportional to 833.67, 1,250.54 and 286.23 is: 429.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.67 : 1,250.54 = 286.23 : x
  2. Step 2: Convert to fraction form
    833.67/1,250.54 = 286.23/x
  3. Step 3: Cross multiply
    833.67x = 1,250.54 × 286.23
  4. Step 4: Simplify right side
    833.67x = 357,942.06
  5. Step 5: Solve for x
    x = 357,942.06/833.67
  6. Step 6: Final answer
    x = 429.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.