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Finding the Fourth Proportional to 1,891.29, 2,836.02 and 658.67

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Solution

The fourth proportional to 1,891.29, 2,836.02 and 658.67 is: 987.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,891.29 : 2,836.02 = 658.67 : x
  2. Step 2: Convert to fraction form
    1,891.29/2,836.02 = 658.67/x
  3. Step 3: Cross multiply
    1,891.29x = 2,836.02 × 658.67
  4. Step 4: Simplify right side
    1,891.29x = 1,868,001.29
  5. Step 5: Solve for x
    x = 1,868,001.29/1,891.29
  6. Step 6: Final answer
    x = 987.69

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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.