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Finding the Fourth Proportional to 1,494.54, 2,062.26 and 905.13

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Solution

The fourth proportional to 1,494.54, 2,062.26 and 905.13 is: 1,248.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,494.54 : 2,062.26 = 905.13 : x
  2. Step 2: Convert to fraction form
    1,494.54/2,062.26 = 905.13/x
  3. Step 3: Cross multiply
    1,494.54x = 2,062.26 × 905.13
  4. Step 4: Simplify right side
    1,494.54x = 1,866,613.39
  5. Step 5: Solve for x
    x = 1,866,613.39/1,494.54
  6. Step 6: Final answer
    x = 1,248.96

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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.