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Finding the Fourth Proportional to 1,084.09, 1,495.45 and 641.91

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Solution

The fourth proportional to 1,084.09, 1,495.45 and 641.91 is: 885.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,084.09 : 1,495.45 = 641.91 : x
  2. Step 2: Convert to fraction form
    1,084.09/1,495.45 = 641.91/x
  3. Step 3: Cross multiply
    1,084.09x = 1,495.45 × 641.91
  4. Step 4: Simplify right side
    1,084.09x = 959,939.50
  5. Step 5: Solve for x
    x = 959,939.50/1,084.09
  6. Step 6: Final answer
    x = 885.48

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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.