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Finding the Fourth Proportional to 1,423.80, 1,964.92 and 834.38

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Solution

The fourth proportional to 1,423.80, 1,964.92 and 834.38 is: 1,151.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,423.80 : 1,964.92 = 834.38 : x
  2. Step 2: Convert to fraction form
    1,423.80/1,964.92 = 834.38/x
  3. Step 3: Cross multiply
    1,423.80x = 1,964.92 × 834.38
  4. Step 4: Simplify right side
    1,423.80x = 1,639,489.95
  5. Step 5: Solve for x
    x = 1,639,489.95/1,423.80
  6. Step 6: Final answer
    x = 1,151.49

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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.