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Finding the Fourth Proportional to 1,406.73, 2,110.11 and 626.55

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Solution

The fourth proportional to 1,406.73, 2,110.11 and 626.55 is: 939.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406.73 : 2,110.11 = 626.55 : x
  2. Step 2: Convert to fraction form
    1,406.73/2,110.11 = 626.55/x
  3. Step 3: Cross multiply
    1,406.73x = 2,110.11 × 626.55
  4. Step 4: Simplify right side
    1,406.73x = 1,322,089.42
  5. Step 5: Solve for x
    x = 1,322,089.42/1,406.73
  6. Step 6: Final answer
    x = 939.83

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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.