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Finding the Fourth Proportional to 1,494.81, 2,062.92 and 905.40

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Solution

The fourth proportional to 1,494.81, 2,062.92 and 905.40 is: 1,249.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,494.81 : 2,062.92 = 905.40 : x
  2. Step 2: Convert to fraction form
    1,494.81/2,062.92 = 905.40/x
  3. Step 3: Cross multiply
    1,494.81x = 2,062.92 × 905.40
  4. Step 4: Simplify right side
    1,494.81x = 1,867,767.77
  5. Step 5: Solve for x
    x = 1,867,767.77/1,494.81
  6. Step 6: Final answer
    x = 1,249.50

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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.