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Finding the Fourth Proportional to 1,085.09, 1,625.83 and 976.01

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Solution

The fourth proportional to 1,085.09, 1,625.83 and 976.01 is: 1,462.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,085.09 : 1,625.83 = 976.01 : x
  2. Step 2: Convert to fraction form
    1,085.09/1,625.83 = 976.01/x
  3. Step 3: Cross multiply
    1,085.09x = 1,625.83 × 976.01
  4. Step 4: Simplify right side
    1,085.09x = 1,586,815.77
  5. Step 5: Solve for x
    x = 1,586,815.77/1,085.09
  6. Step 6: Final answer
    x = 1,462.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.