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Finding the Fourth Proportional to 1,463.42, 2,020.11 and 873.84

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Solution

The fourth proportional to 1,463.42, 2,020.11 and 873.84 is: 1,206.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,463.42 : 2,020.11 = 873.84 : x
  2. Step 2: Convert to fraction form
    1,463.42/2,020.11 = 873.84/x
  3. Step 3: Cross multiply
    1,463.42x = 2,020.11 × 873.84
  4. Step 4: Simplify right side
    1,463.42x = 1,765,257.22
  5. Step 5: Solve for x
    x = 1,765,257.22/1,463.42
  6. Step 6: Final answer
    x = 1,206.25

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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.