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Finding the Fourth Proportional to 1,442.81, 1,991.99 and 1,000.55

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Solution

The fourth proportional to 1,442.81, 1,991.99 and 1,000.55 is: 1,381.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,442.81 : 1,991.99 = 1,000.55 : x
  2. Step 2: Convert to fraction form
    1,442.81/1,991.99 = 1,000.55/x
  3. Step 3: Cross multiply
    1,442.81x = 1,991.99 × 1,000.55
  4. Step 4: Simplify right side
    1,442.81x = 1,993,085.59
  5. Step 5: Solve for x
    x = 1,993,085.59/1,442.81
  6. Step 6: Final answer
    x = 1,381.39

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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.