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Finding the Fourth Proportional to 1,463.96, 2,020.21 and 834.49

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Solution

The fourth proportional to 1,463.96, 2,020.21 and 834.49 is: 1,151.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,463.96 : 2,020.21 = 834.49 : x
  2. Step 2: Convert to fraction form
    1,463.96/2,020.21 = 834.49/x
  3. Step 3: Cross multiply
    1,463.96x = 2,020.21 × 834.49
  4. Step 4: Simplify right side
    1,463.96x = 1,685,834.12
  5. Step 5: Solve for x
    x = 1,685,834.12/1,463.96
  6. Step 6: Final answer
    x = 1,151.56

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1.5x scale

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.