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Finding the Fourth Proportional to 1,484.81, 2,226.80 and 825.87

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Solution

The fourth proportional to 1,484.81, 2,226.80 and 825.87 is: 1,238.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,484.81 : 2,226.80 = 825.87 : x
  2. Step 2: Convert to fraction form
    1,484.81/2,226.80 = 825.87/x
  3. Step 3: Cross multiply
    1,484.81x = 2,226.80 × 825.87
  4. Step 4: Simplify right side
    1,484.81x = 1,839,049.38
  5. Step 5: Solve for x
    x = 1,839,049.38/1,484.81
  6. Step 6: Final answer
    x = 1,238.58

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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.