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Finding the Fourth Proportional to 1,046.84, 1,451.26 and 991.35

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Solution

The fourth proportional to 1,046.84, 1,451.26 and 991.35 is: 1,374.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.84 : 1,451.26 = 991.35 : x
  2. Step 2: Convert to fraction form
    1,046.84/1,451.26 = 991.35/x
  3. Step 3: Cross multiply
    1,046.84x = 1,451.26 × 991.35
  4. Step 4: Simplify right side
    1,046.84x = 1,438,706.60
  5. Step 5: Solve for x
    x = 1,438,706.60/1,046.84
  6. Step 6: Final answer
    x = 1,374.33

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.