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Finding the Fourth Proportional to 833.84, 1,251.76 and 650.96

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Solution

The fourth proportional to 833.84, 1,251.76 and 650.96 is: 977.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.84 : 1,251.76 = 650.96 : x
  2. Step 2: Convert to fraction form
    833.84/1,251.76 = 650.96/x
  3. Step 3: Cross multiply
    833.84x = 1,251.76 × 650.96
  4. Step 4: Simplify right side
    833.84x = 814,845.69
  5. Step 5: Solve for x
    x = 814,845.69/833.84
  6. Step 6: Final answer
    x = 977.22

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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.