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Finding the Fourth Proportional to 1,369.50, 1,888.74 and 844.62

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Solution

The fourth proportional to 1,369.50, 1,888.74 and 844.62 is: 1,164.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,369.50 : 1,888.74 = 844.62 : x
  2. Step 2: Convert to fraction form
    1,369.50/1,888.74 = 844.62/x
  3. Step 3: Cross multiply
    1,369.50x = 1,888.74 × 844.62
  4. Step 4: Simplify right side
    1,369.50x = 1,595,267.58
  5. Step 5: Solve for x
    x = 1,595,267.58/1,369.50
  6. Step 6: Final answer
    x = 1,164.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.