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Finding the Fourth Proportional to 1,084.82, 1,494.36 and 1,029.23

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Solution

The fourth proportional to 1,084.82, 1,494.36 and 1,029.23 is: 1,417.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,084.82 : 1,494.36 = 1,029.23 : x
  2. Step 2: Convert to fraction form
    1,084.82/1,494.36 = 1,029.23/x
  3. Step 3: Cross multiply
    1,084.82x = 1,494.36 × 1,029.23
  4. Step 4: Simplify right side
    1,084.82x = 1,538,032.67
  5. Step 5: Solve for x
    x = 1,538,032.67/1,084.82
  6. Step 6: Final answer
    x = 1,417.78

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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.